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Finding the Third Proportional to 171,656 and 251,339

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Solution

The third proportional to 171,656 and 251,339 is: 368,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,656 : 251,339 = 251,339 : x
  2. Step 2: Convert to fraction form
    171,656/251,339 = 251,339/x
  3. Step 3: Cross multiply
    171,656x = 251,339 × 251,339
  4. Step 4: Simplify right side
    171,656x = 63,171,292,921
  5. Step 5: Solve for x
    x = 63,171,292,921/171,656
  6. Step 6: Final answer
    x = 368,010.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.