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Finding the Third Proportional to 166,161.50 and 360,367

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Solution

The third proportional to 166,161.50 and 360,367 is: 781,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,161.50 : 360,367 = 360,367 : x
  2. Step 2: Convert to fraction form
    166,161.50/360,367 = 360,367/x
  3. Step 3: Cross multiply
    166,161.50x = 360,367 × 360,367
  4. Step 4: Simplify right side
    166,161.50x = 129,864,374,689
  5. Step 5: Solve for x
    x = 129,864,374,689/166,161.50
  6. Step 6: Final answer
    x = 781,555.14

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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.