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Finding the Third Proportional to 124,395 and 268,438

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Solution

The third proportional to 124,395 and 268,438 is: 579,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,395 : 268,438 = 268,438 : x
  2. Step 2: Convert to fraction form
    124,395/268,438 = 268,438/x
  3. Step 3: Cross multiply
    124,395x = 268,438 × 268,438
  4. Step 4: Simplify right side
    124,395x = 72,058,959,844
  5. Step 5: Solve for x
    x = 72,058,959,844/124,395
  6. Step 6: Final answer
    x = 579,275.37

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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.