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Finding the Third Proportional to 235,162 and 360,339

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Solution

The third proportional to 235,162 and 360,339 is: 552,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,162 : 360,339 = 360,339 : x
  2. Step 2: Convert to fraction form
    235,162/360,339 = 360,339/x
  3. Step 3: Cross multiply
    235,162x = 360,339 × 360,339
  4. Step 4: Simplify right side
    235,162x = 129,844,194,921
  5. Step 5: Solve for x
    x = 129,844,194,921/235,162
  6. Step 6: Final answer
    x = 552,147.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.