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Finding the Third Proportional to 124,334 and 268,324

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Solution

The third proportional to 124,334 and 268,324 is: 579,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,334 : 268,324 = 268,324 : x
  2. Step 2: Convert to fraction form
    124,334/268,324 = 268,324/x
  3. Step 3: Cross multiply
    124,334x = 268,324 × 268,324
  4. Step 4: Simplify right side
    124,334x = 71,997,768,976
  5. Step 5: Solve for x
    x = 71,997,768,976/124,334
  6. Step 6: Final answer
    x = 579,067.42

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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.