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Finding the Third Proportional to 161,877 and 330,177

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Solution

The third proportional to 161,877 and 330,177 is: 673,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,877 : 330,177 = 330,177 : x
  2. Step 2: Convert to fraction form
    161,877/330,177 = 330,177/x
  3. Step 3: Cross multiply
    161,877x = 330,177 × 330,177
  4. Step 4: Simplify right side
    161,877x = 109,016,851,329
  5. Step 5: Solve for x
    x = 109,016,851,329/161,877
  6. Step 6: Final answer
    x = 673,454.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.