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Finding the Third Proportional to 151,267.50 and 201,249.56

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Solution

The third proportional to 151,267.50 and 201,249.56 is: 267,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,267.50 : 201,249.56 = 201,249.56 : x
  2. Step 2: Convert to fraction form
    151,267.50/201,249.56 = 201,249.56/x
  3. Step 3: Cross multiply
    151,267.50x = 201,249.56 × 201,249.56
  4. Step 4: Simplify right side
    151,267.50x = 40,501,386,406.44
  5. Step 5: Solve for x
    x = 40,501,386,406.44/151,267.50
  6. Step 6: Final answer
    x = 267,746.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.