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Finding the Third Proportional to 138,302 and 281,681

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Solution

The third proportional to 138,302 and 281,681 is: 573,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,302 : 281,681 = 281,681 : x
  2. Step 2: Convert to fraction form
    138,302/281,681 = 281,681/x
  3. Step 3: Cross multiply
    138,302x = 281,681 × 281,681
  4. Step 4: Simplify right side
    138,302x = 79,344,185,761
  5. Step 5: Solve for x
    x = 79,344,185,761/138,302
  6. Step 6: Final answer
    x = 573,702.37

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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.