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Finding the Third Proportional to 124,418 and 268,274

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Solution

The third proportional to 124,418 and 268,274 is: 578,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,418 : 268,274 = 268,274 : x
  2. Step 2: Convert to fraction form
    124,418/268,274 = 268,274/x
  3. Step 3: Cross multiply
    124,418x = 268,274 × 268,274
  4. Step 4: Simplify right side
    124,418x = 71,970,939,076
  5. Step 5: Solve for x
    x = 71,970,939,076/124,418
  6. Step 6: Final answer
    x = 578,460.83

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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.