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Finding the Third Proportional to 152,013.80 and 351,871.17

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Solution

The third proportional to 152,013.80 and 351,871.17 is: 814,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,013.80 : 351,871.17 = 351,871.17 : x
  2. Step 2: Convert to fraction form
    152,013.80/351,871.17 = 351,871.17/x
  3. Step 3: Cross multiply
    152,013.80x = 351,871.17 × 351,871.17
  4. Step 4: Simplify right side
    152,013.80x = 123,813,321,596.69
  5. Step 5: Solve for x
    x = 123,813,321,596.69/152,013.80
  6. Step 6: Final answer
    x = 814,487.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.