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Finding the Third Proportional to 119,277 and 259,589.25

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Solution

The third proportional to 119,277 and 259,589.25 is: 564,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,277 : 259,589.25 = 259,589.25 : x
  2. Step 2: Convert to fraction form
    119,277/259,589.25 = 259,589.25/x
  3. Step 3: Cross multiply
    119,277x = 259,589.25 × 259,589.25
  4. Step 4: Simplify right side
    119,277x = 67,386,578,715.56
  5. Step 5: Solve for x
    x = 67,386,578,715.56/119,277
  6. Step 6: Final answer
    x = 564,958.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.