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Finding the Third Proportional to 115,704 and 240,624

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Solution

The third proportional to 115,704 and 240,624 is: 500,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,704 : 240,624 = 240,624 : x
  2. Step 2: Convert to fraction form
    115,704/240,624 = 240,624/x
  3. Step 3: Cross multiply
    115,704x = 240,624 × 240,624
  4. Step 4: Simplify right side
    115,704x = 57,899,909,376
  5. Step 5: Solve for x
    x = 57,899,909,376/115,704
  6. Step 6: Final answer
    x = 500,414.07

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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.