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Finding the Third Proportional to 132,302 and 204,916

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Solution

The third proportional to 132,302 and 204,916 is: 317,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,302 : 204,916 = 204,916 : x
  2. Step 2: Convert to fraction form
    132,302/204,916 = 204,916/x
  3. Step 3: Cross multiply
    132,302x = 204,916 × 204,916
  4. Step 4: Simplify right side
    132,302x = 41,990,567,056
  5. Step 5: Solve for x
    x = 41,990,567,056/132,302
  6. Step 6: Final answer
    x = 317,384.22

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Why These Related Problems?

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