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Finding the Third Proportional to 112,862 and 240,724

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Solution

The third proportional to 112,862 and 240,724 is: 513,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,862 : 240,724 = 240,724 : x
  2. Step 2: Convert to fraction form
    112,862/240,724 = 240,724/x
  3. Step 3: Cross multiply
    112,862x = 240,724 × 240,724
  4. Step 4: Simplify right side
    112,862x = 57,948,044,176
  5. Step 5: Solve for x
    x = 57,948,044,176/112,862
  6. Step 6: Final answer
    x = 513,441.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.