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Finding the Third Proportional to 119,277 and 262,062

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Solution

The third proportional to 119,277 and 262,062 is: 575,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,277 : 262,062 = 262,062 : x
  2. Step 2: Convert to fraction form
    119,277/262,062 = 262,062/x
  3. Step 3: Cross multiply
    119,277x = 262,062 × 262,062
  4. Step 4: Simplify right side
    119,277x = 68,676,491,844
  5. Step 5: Solve for x
    x = 68,676,491,844/119,277
  6. Step 6: Final answer
    x = 575,773.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.