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Finding the Third Proportional to 112,404 and 240,751

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Solution

The third proportional to 112,404 and 240,751 is: 515,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,404 : 240,751 = 240,751 : x
  2. Step 2: Convert to fraction form
    112,404/240,751 = 240,751/x
  3. Step 3: Cross multiply
    112,404x = 240,751 × 240,751
  4. Step 4: Simplify right side
    112,404x = 57,961,044,001
  5. Step 5: Solve for x
    x = 57,961,044,001/112,404
  6. Step 6: Final answer
    x = 515,649.30

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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.