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Finding the Third Proportional to 138,540 and 301,344

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Solution

The third proportional to 138,540 and 301,344 is: 655,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,540 : 301,344 = 301,344 : x
  2. Step 2: Convert to fraction form
    138,540/301,344 = 301,344/x
  3. Step 3: Cross multiply
    138,540x = 301,344 × 301,344
  4. Step 4: Simplify right side
    138,540x = 90,808,206,336
  5. Step 5: Solve for x
    x = 90,808,206,336/138,540
  6. Step 6: Final answer
    x = 655,465.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.