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Finding the Third Proportional to 187,066 and 413,486

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Solution

The third proportional to 187,066 and 413,486 is: 913,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,066 : 413,486 = 413,486 : x
  2. Step 2: Convert to fraction form
    187,066/413,486 = 413,486/x
  3. Step 3: Cross multiply
    187,066x = 413,486 × 413,486
  4. Step 4: Simplify right side
    187,066x = 170,970,672,196
  5. Step 5: Solve for x
    x = 170,970,672,196/187,066
  6. Step 6: Final answer
    x = 913,959.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.