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Finding the Third Proportional to 124,404 and 269,806

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Solution

The third proportional to 124,404 and 269,806 is: 585,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,404 : 269,806 = 269,806 : x
  2. Step 2: Convert to fraction form
    124,404/269,806 = 269,806/x
  3. Step 3: Cross multiply
    124,404x = 269,806 × 269,806
  4. Step 4: Simplify right side
    124,404x = 72,795,277,636
  5. Step 5: Solve for x
    x = 72,795,277,636/124,404
  6. Step 6: Final answer
    x = 585,152.23

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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.