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Finding the Third Proportional to 145,237.50 and 220,029.75

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Solution

The third proportional to 145,237.50 and 220,029.75 is: 333,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,237.50 : 220,029.75 = 220,029.75 : x
  2. Step 2: Convert to fraction form
    145,237.50/220,029.75 = 220,029.75/x
  3. Step 3: Cross multiply
    145,237.50x = 220,029.75 × 220,029.75
  4. Step 4: Simplify right side
    145,237.50x = 48,413,090,885.06
  5. Step 5: Solve for x
    x = 48,413,090,885.06/145,237.50
  6. Step 6: Final answer
    x = 333,337.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.