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Finding the Third Proportional to 112,382 and 240,757

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Solution

The third proportional to 112,382 and 240,757 is: 515,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,382 : 240,757 = 240,757 : x
  2. Step 2: Convert to fraction form
    112,382/240,757 = 240,757/x
  3. Step 3: Cross multiply
    112,382x = 240,757 × 240,757
  4. Step 4: Simplify right side
    112,382x = 57,963,933,049
  5. Step 5: Solve for x
    x = 57,963,933,049/112,382
  6. Step 6: Final answer
    x = 515,775.95

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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.