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Finding the Third Proportional to 131,734 and 204,359

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Solution

The third proportional to 131,734 and 204,359 is: 317,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,734 : 204,359 = 204,359 : x
  2. Step 2: Convert to fraction form
    131,734/204,359 = 204,359/x
  3. Step 3: Cross multiply
    131,734x = 204,359 × 204,359
  4. Step 4: Simplify right side
    131,734x = 41,762,600,881
  5. Step 5: Solve for x
    x = 41,762,600,881/131,734
  6. Step 6: Final answer
    x = 317,022.19

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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.