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Finding the Third Proportional to 132,210 and 205,227

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Solution

The third proportional to 132,210 and 205,227 is: 318,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,210 : 205,227 = 205,227 : x
  2. Step 2: Convert to fraction form
    132,210/205,227 = 205,227/x
  3. Step 3: Cross multiply
    132,210x = 205,227 × 205,227
  4. Step 4: Simplify right side
    132,210x = 42,118,121,529
  5. Step 5: Solve for x
    x = 42,118,121,529/132,210
  6. Step 6: Final answer
    x = 318,569.86

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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.