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Finding the Third Proportional to 138,478 and 301,256

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Solution

The third proportional to 138,478 and 301,256 is: 655,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,478 : 301,256 = 301,256 : x
  2. Step 2: Convert to fraction form
    138,478/301,256 = 301,256/x
  3. Step 3: Cross multiply
    138,478x = 301,256 × 301,256
  4. Step 4: Simplify right side
    138,478x = 90,755,177,536
  5. Step 5: Solve for x
    x = 90,755,177,536/138,478
  6. Step 6: Final answer
    x = 655,376.14

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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.