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Finding the Third Proportional to 115,517 and 253,714

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Solution

The third proportional to 115,517 and 253,714 is: 557,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,517 : 253,714 = 253,714 : x
  2. Step 2: Convert to fraction form
    115,517/253,714 = 253,714/x
  3. Step 3: Cross multiply
    115,517x = 253,714 × 253,714
  4. Step 4: Simplify right side
    115,517x = 64,370,793,796
  5. Step 5: Solve for x
    x = 64,370,793,796/115,517
  6. Step 6: Final answer
    x = 557,240.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.