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Finding the Third Proportional to 166,677 and 264,778.50

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Solution

The third proportional to 166,677 and 264,778.50 is: 420,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,677 : 264,778.50 = 264,778.50 : x
  2. Step 2: Convert to fraction form
    166,677/264,778.50 = 264,778.50/x
  3. Step 3: Cross multiply
    166,677x = 264,778.50 × 264,778.50
  4. Step 4: Simplify right side
    166,677x = 70,107,654,062.25
  5. Step 5: Solve for x
    x = 70,107,654,062.25/166,677
  6. Step 6: Final answer
    x = 420,619.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.