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Finding the Third Proportional to 166,572 and 216,162

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Solution

The third proportional to 166,572 and 216,162 is: 280,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,572 : 216,162 = 216,162 : x
  2. Step 2: Convert to fraction form
    166,572/216,162 = 216,162/x
  3. Step 3: Cross multiply
    166,572x = 216,162 × 216,162
  4. Step 4: Simplify right side
    166,572x = 46,726,010,244
  5. Step 5: Solve for x
    x = 46,726,010,244/166,572
  6. Step 6: Final answer
    x = 280,515.39

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.