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Finding the Third Proportional to 141,517.88 and 309,279.75

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Solution

The third proportional to 141,517.88 and 309,279.75 is: 675,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,517.88 : 309,279.75 = 309,279.75 : x
  2. Step 2: Convert to fraction form
    141,517.88/309,279.75 = 309,279.75/x
  3. Step 3: Cross multiply
    141,517.88x = 309,279.75 × 309,279.75
  4. Step 4: Simplify right side
    141,517.88x = 95,653,963,760.06
  5. Step 5: Solve for x
    x = 95,653,963,760.06/141,517.88
  6. Step 6: Final answer
    x = 675,914.36

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