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Finding the Third Proportional to 124,488 and 269,940

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Solution

The third proportional to 124,488 and 269,940 is: 585,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,488 : 269,940 = 269,940 : x
  2. Step 2: Convert to fraction form
    124,488/269,940 = 269,940/x
  3. Step 3: Cross multiply
    124,488x = 269,940 × 269,940
  4. Step 4: Simplify right side
    124,488x = 72,867,603,600
  5. Step 5: Solve for x
    x = 72,867,603,600/124,488
  6. Step 6: Final answer
    x = 585,338.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.