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Finding the Third Proportional to 115,448 and 240,132

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Solution

The third proportional to 115,448 and 240,132 is: 499,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,448 : 240,132 = 240,132 : x
  2. Step 2: Convert to fraction form
    115,448/240,132 = 240,132/x
  3. Step 3: Cross multiply
    115,448x = 240,132 × 240,132
  4. Step 4: Simplify right side
    115,448x = 57,663,377,424
  5. Step 5: Solve for x
    x = 57,663,377,424/115,448
  6. Step 6: Final answer
    x = 499,474.89

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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.