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Finding the Third Proportional to 132,298 and 204,910

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Solution

The third proportional to 132,298 and 204,910 is: 317,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,298 : 204,910 = 204,910 : x
  2. Step 2: Convert to fraction form
    132,298/204,910 = 204,910/x
  3. Step 3: Cross multiply
    132,298x = 204,910 × 204,910
  4. Step 4: Simplify right side
    132,298x = 41,988,108,100
  5. Step 5: Solve for x
    x = 41,988,108,100/132,298
  6. Step 6: Final answer
    x = 317,375.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.