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Finding the Third Proportional to 129,414 and 276,822

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Solution

The third proportional to 129,414 and 276,822 is: 592,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,414 : 276,822 = 276,822 : x
  2. Step 2: Convert to fraction form
    129,414/276,822 = 276,822/x
  3. Step 3: Cross multiply
    129,414x = 276,822 × 276,822
  4. Step 4: Simplify right side
    129,414x = 76,630,419,684
  5. Step 5: Solve for x
    x = 76,630,419,684/129,414
  6. Step 6: Final answer
    x = 592,133.92

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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.