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Finding the Third Proportional to 110,792 and 240,376

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Solution

The third proportional to 110,792 and 240,376 is: 521,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,792 : 240,376 = 240,376 : x
  2. Step 2: Convert to fraction form
    110,792/240,376 = 240,376/x
  3. Step 3: Cross multiply
    110,792x = 240,376 × 240,376
  4. Step 4: Simplify right side
    110,792x = 57,780,621,376
  5. Step 5: Solve for x
    x = 57,780,621,376/110,792
  6. Step 6: Final answer
    x = 521,523.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.