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Finding the Third Proportional to 166,464 and 366,860

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Solution

The third proportional to 166,464 and 366,860 is: 808,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,464 : 366,860 = 366,860 : x
  2. Step 2: Convert to fraction form
    166,464/366,860 = 366,860/x
  3. Step 3: Cross multiply
    166,464x = 366,860 × 366,860
  4. Step 4: Simplify right side
    166,464x = 134,586,259,600
  5. Step 5: Solve for x
    x = 134,586,259,600/166,464
  6. Step 6: Final answer
    x = 808,500.69

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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.