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Finding the Third Proportional to 166,570 and 218,692

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Solution

The third proportional to 166,570 and 218,692 is: 287,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,570 : 218,692 = 218,692 : x
  2. Step 2: Convert to fraction form
    166,570/218,692 = 218,692/x
  3. Step 3: Cross multiply
    166,570x = 218,692 × 218,692
  4. Step 4: Simplify right side
    166,570x = 47,826,190,864
  5. Step 5: Solve for x
    x = 47,826,190,864/166,570
  6. Step 6: Final answer
    x = 287,123.68

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.