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Finding the Third Proportional to 117,514.13 and 241,251.75

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Solution

The third proportional to 117,514.13 and 241,251.75 is: 495,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,514.13 : 241,251.75 = 241,251.75 : x
  2. Step 2: Convert to fraction form
    117,514.13/241,251.75 = 241,251.75/x
  3. Step 3: Cross multiply
    117,514.13x = 241,251.75 × 241,251.75
  4. Step 4: Simplify right side
    117,514.13x = 58,202,406,878.06
  5. Step 5: Solve for x
    x = 58,202,406,878.06/117,514.13
  6. Step 6: Final answer
    x = 495,280.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.