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Finding the Third Proportional to 119,854 and 266,311

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Solution

The third proportional to 119,854 and 266,311 is: 591,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,854 : 266,311 = 266,311 : x
  2. Step 2: Convert to fraction form
    119,854/266,311 = 266,311/x
  3. Step 3: Cross multiply
    119,854x = 266,311 × 266,311
  4. Step 4: Simplify right side
    119,854x = 70,921,548,721
  5. Step 5: Solve for x
    x = 70,921,548,721/119,854
  6. Step 6: Final answer
    x = 591,732.85

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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.