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Finding the Third Proportional to 187,535 and 404,397

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Solution

The third proportional to 187,535 and 404,397 is: 872,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,535 : 404,397 = 404,397 : x
  2. Step 2: Convert to fraction form
    187,535/404,397 = 404,397/x
  3. Step 3: Cross multiply
    187,535x = 404,397 × 404,397
  4. Step 4: Simplify right side
    187,535x = 163,536,933,609
  5. Step 5: Solve for x
    x = 163,536,933,609/187,535
  6. Step 6: Final answer
    x = 872,034.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.