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Finding the Third Proportional to 133,784.50 and 207,193

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Solution

The third proportional to 133,784.50 and 207,193 is: 320,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784.50 : 207,193 = 207,193 : x
  2. Step 2: Convert to fraction form
    133,784.50/207,193 = 207,193/x
  3. Step 3: Cross multiply
    133,784.50x = 207,193 × 207,193
  4. Step 4: Simplify right side
    133,784.50x = 42,928,939,249
  5. Step 5: Solve for x
    x = 42,928,939,249/133,784.50
  6. Step 6: Final answer
    x = 320,881.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.