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Finding the Third Proportional to 138,544 and 301,352

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Solution

The third proportional to 138,544 and 301,352 is: 655,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,544 : 301,352 = 301,352 : x
  2. Step 2: Convert to fraction form
    138,544/301,352 = 301,352/x
  3. Step 3: Cross multiply
    138,544x = 301,352 × 301,352
  4. Step 4: Simplify right side
    138,544x = 90,813,027,904
  5. Step 5: Solve for x
    x = 90,813,027,904/138,544
  6. Step 6: Final answer
    x = 655,481.49

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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.