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Finding the Third Proportional to 166,468.92 and 360,949.29

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Solution

The third proportional to 166,468.92 and 360,949.29 is: 782,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,468.92 : 360,949.29 = 360,949.29 : x
  2. Step 2: Convert to fraction form
    166,468.92/360,949.29 = 360,949.29/x
  3. Step 3: Cross multiply
    166,468.92x = 360,949.29 × 360,949.29
  4. Step 4: Simplify right side
    166,468.92x = 130,284,389,274.72
  5. Step 5: Solve for x
    x = 130,284,389,274.72/166,468.92
  6. Step 6: Final answer
    x = 782,634.91

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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.