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Finding the Third Proportional to 112,366 and 240,725

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Solution

The third proportional to 112,366 and 240,725 is: 515,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,366 : 240,725 = 240,725 : x
  2. Step 2: Convert to fraction form
    112,366/240,725 = 240,725/x
  3. Step 3: Cross multiply
    112,366x = 240,725 × 240,725
  4. Step 4: Simplify right side
    112,366x = 57,948,525,625
  5. Step 5: Solve for x
    x = 57,948,525,625/112,366
  6. Step 6: Final answer
    x = 515,712.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.