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Finding the Third Proportional to 187,344 and 285,681

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Solution

The third proportional to 187,344 and 285,681 is: 435,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,344 : 285,681 = 285,681 : x
  2. Step 2: Convert to fraction form
    187,344/285,681 = 285,681/x
  3. Step 3: Cross multiply
    187,344x = 285,681 × 285,681
  4. Step 4: Simplify right side
    187,344x = 81,613,633,761
  5. Step 5: Solve for x
    x = 81,613,633,761/187,344
  6. Step 6: Final answer
    x = 435,635.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.