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Finding the Third Proportional to 115,755 and 238,422

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Solution

The third proportional to 115,755 and 238,422 is: 491,080.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,755 : 238,422 = 238,422 : x
  2. Step 2: Convert to fraction form
    115,755/238,422 = 238,422/x
  3. Step 3: Cross multiply
    115,755x = 238,422 × 238,422
  4. Step 4: Simplify right side
    115,755x = 56,845,050,084
  5. Step 5: Solve for x
    x = 56,845,050,084/115,755
  6. Step 6: Final answer
    x = 491,080.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.