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Finding the Third Proportional to 129,624.25 and 269,595

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Solution

The third proportional to 129,624.25 and 269,595 is: 560,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,624.25 : 269,595 = 269,595 : x
  2. Step 2: Convert to fraction form
    129,624.25/269,595 = 269,595/x
  3. Step 3: Cross multiply
    129,624.25x = 269,595 × 269,595
  4. Step 4: Simplify right side
    129,624.25x = 72,681,464,025
  5. Step 5: Solve for x
    x = 72,681,464,025/129,624.25
  6. Step 6: Final answer
    x = 560,708.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.