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Finding the Third Proportional to 132,216 and 290,676

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Solution

The third proportional to 132,216 and 290,676 is: 639,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,216 : 290,676 = 290,676 : x
  2. Step 2: Convert to fraction form
    132,216/290,676 = 290,676/x
  3. Step 3: Cross multiply
    132,216x = 290,676 × 290,676
  4. Step 4: Simplify right side
    132,216x = 84,492,536,976
  5. Step 5: Solve for x
    x = 84,492,536,976/132,216
  6. Step 6: Final answer
    x = 639,049.26

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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.