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Finding the Third Proportional to 132,206 and 273,302

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Solution

The third proportional to 132,206 and 273,302 is: 564,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,206 : 273,302 = 273,302 : x
  2. Step 2: Convert to fraction form
    132,206/273,302 = 273,302/x
  3. Step 3: Cross multiply
    132,206x = 273,302 × 273,302
  4. Step 4: Simplify right side
    132,206x = 74,693,983,204
  5. Step 5: Solve for x
    x = 74,693,983,204/132,206
  6. Step 6: Final answer
    x = 564,981.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.