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Finding the Third Proportional to 187,591.50 and 410,757.75

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Solution

The third proportional to 187,591.50 and 410,757.75 is: 899,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,591.50 : 410,757.75 = 410,757.75 : x
  2. Step 2: Convert to fraction form
    187,591.50/410,757.75 = 410,757.75/x
  3. Step 3: Cross multiply
    187,591.50x = 410,757.75 × 410,757.75
  4. Step 4: Simplify right side
    187,591.50x = 168,721,929,185.06
  5. Step 5: Solve for x
    x = 168,721,929,185.06/187,591.50
  6. Step 6: Final answer
    x = 899,411.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.