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Finding the Third Proportional to 124,292 and 268,504

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Solution

The third proportional to 124,292 and 268,504 is: 580,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,292 : 268,504 = 268,504 : x
  2. Step 2: Convert to fraction form
    124,292/268,504 = 268,504/x
  3. Step 3: Cross multiply
    124,292x = 268,504 × 268,504
  4. Step 4: Simplify right side
    124,292x = 72,094,398,016
  5. Step 5: Solve for x
    x = 72,094,398,016/124,292
  6. Step 6: Final answer
    x = 580,040.53

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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.