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Finding the Third Proportional to 124,656 and 268,320

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Solution

The third proportional to 124,656 and 268,320 is: 577,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,656 : 268,320 = 268,320 : x
  2. Step 2: Convert to fraction form
    124,656/268,320 = 268,320/x
  3. Step 3: Cross multiply
    124,656x = 268,320 × 268,320
  4. Step 4: Simplify right side
    124,656x = 71,995,622,400
  5. Step 5: Solve for x
    x = 71,995,622,400/124,656
  6. Step 6: Final answer
    x = 577,554.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.