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Finding the Third Proportional to 111,732 and 240,960

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Solution

The third proportional to 111,732 and 240,960 is: 519,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,732 : 240,960 = 240,960 : x
  2. Step 2: Convert to fraction form
    111,732/240,960 = 240,960/x
  3. Step 3: Cross multiply
    111,732x = 240,960 × 240,960
  4. Step 4: Simplify right side
    111,732x = 58,061,721,600
  5. Step 5: Solve for x
    x = 58,061,721,600/111,732
  6. Step 6: Final answer
    x = 519,651.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.