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Finding the Third Proportional to 187,957.50 and 413,129.25

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Solution

The third proportional to 187,957.50 and 413,129.25 is: 908,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,957.50 : 413,129.25 = 413,129.25 : x
  2. Step 2: Convert to fraction form
    187,957.50/413,129.25 = 413,129.25/x
  3. Step 3: Cross multiply
    187,957.50x = 413,129.25 × 413,129.25
  4. Step 4: Simplify right side
    187,957.50x = 170,675,777,205.56
  5. Step 5: Solve for x
    x = 170,675,777,205.56/187,957.50
  6. Step 6: Final answer
    x = 908,055.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.