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Finding the Third Proportional to 112,408 and 240,761

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Solution

The third proportional to 112,408 and 240,761 is: 515,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,408 : 240,761 = 240,761 : x
  2. Step 2: Convert to fraction form
    112,408/240,761 = 240,761/x
  3. Step 3: Cross multiply
    112,408x = 240,761 × 240,761
  4. Step 4: Simplify right side
    112,408x = 57,965,859,121
  5. Step 5: Solve for x
    x = 57,965,859,121/112,408
  6. Step 6: Final answer
    x = 515,673.79

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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.