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Finding the Third Proportional to 124,498 and 268,760

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Solution

The third proportional to 124,498 and 268,760 is: 580,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,498 : 268,760 = 268,760 : x
  2. Step 2: Convert to fraction form
    124,498/268,760 = 268,760/x
  3. Step 3: Cross multiply
    124,498x = 268,760 × 268,760
  4. Step 4: Simplify right side
    124,498x = 72,231,937,600
  5. Step 5: Solve for x
    x = 72,231,937,600/124,498
  6. Step 6: Final answer
    x = 580,185.53

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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.