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Finding the Third Proportional to 138,302 and 281,678

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Solution

The third proportional to 138,302 and 281,678 is: 573,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,302 : 281,678 = 281,678 : x
  2. Step 2: Convert to fraction form
    138,302/281,678 = 281,678/x
  3. Step 3: Cross multiply
    138,302x = 281,678 × 281,678
  4. Step 4: Simplify right side
    138,302x = 79,342,495,684
  5. Step 5: Solve for x
    x = 79,342,495,684/138,302
  6. Step 6: Final answer
    x = 573,690.15

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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.