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Finding the Third Proportional to 132,195 and 290,634

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Solution

The third proportional to 132,195 and 290,634 is: 638,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,195 : 290,634 = 290,634 : x
  2. Step 2: Convert to fraction form
    132,195/290,634 = 290,634/x
  3. Step 3: Cross multiply
    132,195x = 290,634 × 290,634
  4. Step 4: Simplify right side
    132,195x = 84,468,121,956
  5. Step 5: Solve for x
    x = 84,468,121,956/132,195
  6. Step 6: Final answer
    x = 638,966.09

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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.