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Finding the Third Proportional to 187,344 and 281,020

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Solution

The third proportional to 187,344 and 281,020 is: 421,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,344 : 281,020 = 281,020 : x
  2. Step 2: Convert to fraction form
    187,344/281,020 = 281,020/x
  3. Step 3: Cross multiply
    187,344x = 281,020 × 281,020
  4. Step 4: Simplify right side
    187,344x = 78,972,240,400
  5. Step 5: Solve for x
    x = 78,972,240,400/187,344
  6. Step 6: Final answer
    x = 421,536.00

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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.