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Finding the Third Proportional to 127,098 and 276,329

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Solution

The third proportional to 127,098 and 276,329 is: 600,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,098 : 276,329 = 276,329 : x
  2. Step 2: Convert to fraction form
    127,098/276,329 = 276,329/x
  3. Step 3: Cross multiply
    127,098x = 276,329 × 276,329
  4. Step 4: Simplify right side
    127,098x = 76,357,716,241
  5. Step 5: Solve for x
    x = 76,357,716,241/127,098
  6. Step 6: Final answer
    x = 600,778.27

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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.