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Finding the Third Proportional to 125,443.69 and 270,568.69

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Solution

The third proportional to 125,443.69 and 270,568.69 is: 583,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,443.69 : 270,568.69 = 270,568.69 : x
  2. Step 2: Convert to fraction form
    125,443.69/270,568.69 = 270,568.69/x
  3. Step 3: Cross multiply
    125,443.69x = 270,568.69 × 270,568.69
  4. Step 4: Simplify right side
    125,443.69x = 73,207,414,655.47
  5. Step 5: Solve for x
    x = 73,207,414,655.47/125,443.69
  6. Step 6: Final answer
    x = 583,587.87

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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.