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Finding the Third Proportional to 166,481 and 366,891

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Solution

The third proportional to 166,481 and 366,891 is: 808,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,481 : 366,891 = 366,891 : x
  2. Step 2: Convert to fraction form
    166,481/366,891 = 366,891/x
  3. Step 3: Cross multiply
    166,481x = 366,891 × 366,891
  4. Step 4: Simplify right side
    166,481x = 134,609,005,881
  5. Step 5: Solve for x
    x = 134,609,005,881/166,481
  6. Step 6: Final answer
    x = 808,554.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.