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Finding the Third Proportional to 166,462.50 and 366,859.50

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Solution

The third proportional to 166,462.50 and 366,859.50 is: 808,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,462.50 : 366,859.50 = 366,859.50 : x
  2. Step 2: Convert to fraction form
    166,462.50/366,859.50 = 366,859.50/x
  3. Step 3: Cross multiply
    166,462.50x = 366,859.50 × 366,859.50
  4. Step 4: Simplify right side
    166,462.50x = 134,585,892,740.25
  5. Step 5: Solve for x
    x = 134,585,892,740.25/166,462.50
  6. Step 6: Final answer
    x = 808,505.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.