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Finding the Third Proportional to 187,674 and 281,758

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Solution

The third proportional to 187,674 and 281,758 is: 423,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,674 : 281,758 = 281,758 : x
  2. Step 2: Convert to fraction form
    187,674/281,758 = 281,758/x
  3. Step 3: Cross multiply
    187,674x = 281,758 × 281,758
  4. Step 4: Simplify right side
    187,674x = 79,387,570,564
  5. Step 5: Solve for x
    x = 79,387,570,564/187,674
  6. Step 6: Final answer
    x = 423,007.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.