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Finding the Third Proportional to 126,209.25 and 269,928

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Solution

The third proportional to 126,209.25 and 269,928 is: 577,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,209.25 : 269,928 = 269,928 : x
  2. Step 2: Convert to fraction form
    126,209.25/269,928 = 269,928/x
  3. Step 3: Cross multiply
    126,209.25x = 269,928 × 269,928
  4. Step 4: Simplify right side
    126,209.25x = 72,861,125,184
  5. Step 5: Solve for x
    x = 72,861,125,184/126,209.25
  6. Step 6: Final answer
    x = 577,304.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.