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Finding the Third Proportional to 138,250.13 and 281,572.88

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Solution

The third proportional to 138,250.13 and 281,572.88 is: 573,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,250.13 : 281,572.88 = 281,572.88 : x
  2. Step 2: Convert to fraction form
    138,250.13/281,572.88 = 281,572.88/x
  3. Step 3: Cross multiply
    138,250.13x = 281,572.88 × 281,572.88
  4. Step 4: Simplify right side
    138,250.13x = 79,283,283,935.77
  5. Step 5: Solve for x
    x = 79,283,283,935.77/138,250.13
  6. Step 6: Final answer
    x = 573,477.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.