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Finding the Third Proportional to 187,769 and 417,517

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Solution

The third proportional to 187,769 and 417,517 is: 928,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,769 : 417,517 = 417,517 : x
  2. Step 2: Convert to fraction form
    187,769/417,517 = 417,517/x
  3. Step 3: Cross multiply
    187,769x = 417,517 × 417,517
  4. Step 4: Simplify right side
    187,769x = 174,320,445,289
  5. Step 5: Solve for x
    x = 174,320,445,289/187,769
  6. Step 6: Final answer
    x = 928,377.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.