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Finding the Third Proportional to 141,257.25 and 310,398.75

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Solution

The third proportional to 141,257.25 and 310,398.75 is: 682,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,257.25 : 310,398.75 = 310,398.75 : x
  2. Step 2: Convert to fraction form
    141,257.25/310,398.75 = 310,398.75/x
  3. Step 3: Cross multiply
    141,257.25x = 310,398.75 × 310,398.75
  4. Step 4: Simplify right side
    141,257.25x = 96,347,384,001.56
  5. Step 5: Solve for x
    x = 96,347,384,001.56/141,257.25
  6. Step 6: Final answer
    x = 682,070.36

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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.