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Finding the Third Proportional to 132,155 and 212,790

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Solution

The third proportional to 132,155 and 212,790 is: 342,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,155 : 212,790 = 212,790 : x
  2. Step 2: Convert to fraction form
    132,155/212,790 = 212,790/x
  3. Step 3: Cross multiply
    132,155x = 212,790 × 212,790
  4. Step 4: Simplify right side
    132,155x = 45,279,584,100
  5. Step 5: Solve for x
    x = 45,279,584,100/132,155
  6. Step 6: Final answer
    x = 342,624.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.