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Finding the Third Proportional to 185,593.50 and 413,685

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Solution

The third proportional to 185,593.50 and 413,685 is: 922,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,593.50 : 413,685 = 413,685 : x
  2. Step 2: Convert to fraction form
    185,593.50/413,685 = 413,685/x
  3. Step 3: Cross multiply
    185,593.50x = 413,685 × 413,685
  4. Step 4: Simplify right side
    185,593.50x = 171,135,279,225
  5. Step 5: Solve for x
    x = 171,135,279,225/185,593.50
  6. Step 6: Final answer
    x = 922,097.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.