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Finding the Third Proportional to 115,586 and 240,336

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Solution

The third proportional to 115,586 and 240,336 is: 499,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,586 : 240,336 = 240,336 : x
  2. Step 2: Convert to fraction form
    115,586/240,336 = 240,336/x
  3. Step 3: Cross multiply
    115,586x = 240,336 × 240,336
  4. Step 4: Simplify right side
    115,586x = 57,761,392,896
  5. Step 5: Solve for x
    x = 57,761,392,896/115,586
  6. Step 6: Final answer
    x = 499,726.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.