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Finding the Third Proportional to 112,398 and 240,828

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Solution

The third proportional to 112,398 and 240,828 is: 516,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,398 : 240,828 = 240,828 : x
  2. Step 2: Convert to fraction form
    112,398/240,828 = 240,828/x
  3. Step 3: Cross multiply
    112,398x = 240,828 × 240,828
  4. Step 4: Simplify right side
    112,398x = 57,998,125,584
  5. Step 5: Solve for x
    x = 57,998,125,584/112,398
  6. Step 6: Final answer
    x = 516,006.74

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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.