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Finding the Third Proportional to 166,630 and 357,884

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Solution

The third proportional to 166,630 and 357,884 is: 768,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,630 : 357,884 = 357,884 : x
  2. Step 2: Convert to fraction form
    166,630/357,884 = 357,884/x
  3. Step 3: Cross multiply
    166,630x = 357,884 × 357,884
  4. Step 4: Simplify right side
    166,630x = 128,080,957,456
  5. Step 5: Solve for x
    x = 128,080,957,456/166,630
  6. Step 6: Final answer
    x = 768,654.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.