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Finding the Third Proportional to 241,188 and 517,366

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Solution

The third proportional to 241,188 and 517,366 is: 1,109,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,188 : 517,366 = 517,366 : x
  2. Step 2: Convert to fraction form
    241,188/517,366 = 517,366/x
  3. Step 3: Cross multiply
    241,188x = 517,366 × 517,366
  4. Step 4: Simplify right side
    241,188x = 267,667,577,956
  5. Step 5: Solve for x
    x = 267,667,577,956/241,188
  6. Step 6: Final answer
    x = 1,109,788.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.