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Finding the Third Proportional to 166,948.50 and 361,599

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Solution

The third proportional to 166,948.50 and 361,599 is: 783,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,948.50 : 361,599 = 361,599 : x
  2. Step 2: Convert to fraction form
    166,948.50/361,599 = 361,599/x
  3. Step 3: Cross multiply
    166,948.50x = 361,599 × 361,599
  4. Step 4: Simplify right side
    166,948.50x = 130,753,836,801
  5. Step 5: Solve for x
    x = 130,753,836,801/166,948.50
  6. Step 6: Final answer
    x = 783,198.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.