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Finding the Third Proportional to 207,839.25 and 331,472.25

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Solution

The third proportional to 207,839.25 and 331,472.25 is: 528,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,839.25 : 331,472.25 = 331,472.25 : x
  2. Step 2: Convert to fraction form
    207,839.25/331,472.25 = 331,472.25/x
  3. Step 3: Cross multiply
    207,839.25x = 331,472.25 × 331,472.25
  4. Step 4: Simplify right side
    207,839.25x = 109,873,852,520.06
  5. Step 5: Solve for x
    x = 109,873,852,520.06/207,839.25
  6. Step 6: Final answer
    x = 528,648.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.