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Finding the Third Proportional to 187,675.31 and 408,088.13

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Solution

The third proportional to 187,675.31 and 408,088.13 is: 887,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,675.31 : 408,088.13 = 408,088.13 : x
  2. Step 2: Convert to fraction form
    187,675.31/408,088.13 = 408,088.13/x
  3. Step 3: Cross multiply
    187,675.31x = 408,088.13 × 408,088.13
  4. Step 4: Simplify right side
    187,675.31x = 166,535,917,766.02
  5. Step 5: Solve for x
    x = 166,535,917,766.02/187,675.31
  6. Step 6: Final answer
    x = 887,361.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.