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Finding the Third Proportional to 138,606 and 300,522

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Solution

The third proportional to 138,606 and 300,522 is: 651,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,606 : 300,522 = 300,522 : x
  2. Step 2: Convert to fraction form
    138,606/300,522 = 300,522/x
  3. Step 3: Cross multiply
    138,606x = 300,522 × 300,522
  4. Step 4: Simplify right side
    138,606x = 90,313,472,484
  5. Step 5: Solve for x
    x = 90,313,472,484/138,606
  6. Step 6: Final answer
    x = 651,584.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.