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Finding the Third Proportional to 238,909.50 and 361,422

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Solution

The third proportional to 238,909.50 and 361,422 is: 546,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,909.50 : 361,422 = 361,422 : x
  2. Step 2: Convert to fraction form
    238,909.50/361,422 = 361,422/x
  3. Step 3: Cross multiply
    238,909.50x = 361,422 × 361,422
  4. Step 4: Simplify right side
    238,909.50x = 130,625,862,084
  5. Step 5: Solve for x
    x = 130,625,862,084/238,909.50
  6. Step 6: Final answer
    x = 546,758.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.