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Finding the Third Proportional to 166,682 and 359,608

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Solution

The third proportional to 166,682 and 359,608 is: 775,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,682 : 359,608 = 359,608 : x
  2. Step 2: Convert to fraction form
    166,682/359,608 = 359,608/x
  3. Step 3: Cross multiply
    166,682x = 359,608 × 359,608
  4. Step 4: Simplify right side
    166,682x = 129,317,913,664
  5. Step 5: Solve for x
    x = 129,317,913,664/166,682
  6. Step 6: Final answer
    x = 775,836.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.