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Finding the Third Proportional to 119,856 and 266,314

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Solution

The third proportional to 119,856 and 266,314 is: 591,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,856 : 266,314 = 266,314 : x
  2. Step 2: Convert to fraction form
    119,856/266,314 = 266,314/x
  3. Step 3: Cross multiply
    119,856x = 266,314 × 266,314
  4. Step 4: Simplify right side
    119,856x = 70,923,146,596
  5. Step 5: Solve for x
    x = 70,923,146,596/119,856
  6. Step 6: Final answer
    x = 591,736.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.