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Finding the Third Proportional to 137,478 and 301,524

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Solution

The third proportional to 137,478 and 301,524 is: 661,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,478 : 301,524 = 301,524 : x
  2. Step 2: Convert to fraction form
    137,478/301,524 = 301,524/x
  3. Step 3: Cross multiply
    137,478x = 301,524 × 301,524
  4. Step 4: Simplify right side
    137,478x = 90,916,722,576
  5. Step 5: Solve for x
    x = 90,916,722,576/137,478
  6. Step 6: Final answer
    x = 661,318.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.