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Finding the Third Proportional to 124,318 and 268,292

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Solution

The third proportional to 124,318 and 268,292 is: 579,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,318 : 268,292 = 268,292 : x
  2. Step 2: Convert to fraction form
    124,318/268,292 = 268,292/x
  3. Step 3: Cross multiply
    124,318x = 268,292 × 268,292
  4. Step 4: Simplify right side
    124,318x = 71,980,597,264
  5. Step 5: Solve for x
    x = 71,980,597,264/124,318
  6. Step 6: Final answer
    x = 579,003.82

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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.