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Finding the Third Proportional to 166,212 and 356,076

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Solution

The third proportional to 166,212 and 356,076 is: 762,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,212 : 356,076 = 356,076 : x
  2. Step 2: Convert to fraction form
    166,212/356,076 = 356,076/x
  3. Step 3: Cross multiply
    166,212x = 356,076 × 356,076
  4. Step 4: Simplify right side
    166,212x = 126,790,117,776
  5. Step 5: Solve for x
    x = 126,790,117,776/166,212
  6. Step 6: Final answer
    x = 762,821.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.