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Finding the Third Proportional to 166,682 and 360,023

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Solution

The third proportional to 166,682 and 360,023 is: 777,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,682 : 360,023 = 360,023 : x
  2. Step 2: Convert to fraction form
    166,682/360,023 = 360,023/x
  3. Step 3: Cross multiply
    166,682x = 360,023 × 360,023
  4. Step 4: Simplify right side
    166,682x = 129,616,560,529
  5. Step 5: Solve for x
    x = 129,616,560,529/166,682
  6. Step 6: Final answer
    x = 777,627.82

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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.