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Finding the Third Proportional to 112,864 and 240,344

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Solution

The third proportional to 112,864 and 240,344 is: 511,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,864 : 240,344 = 240,344 : x
  2. Step 2: Convert to fraction form
    112,864/240,344 = 240,344/x
  3. Step 3: Cross multiply
    112,864x = 240,344 × 240,344
  4. Step 4: Simplify right side
    112,864x = 57,765,238,336
  5. Step 5: Solve for x
    x = 57,765,238,336/112,864
  6. Step 6: Final answer
    x = 511,812.79

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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.