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Finding the Third Proportional to 166,302.50 and 365,822

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Solution

The third proportional to 166,302.50 and 365,822 is: 804,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,302.50 : 365,822 = 365,822 : x
  2. Step 2: Convert to fraction form
    166,302.50/365,822 = 365,822/x
  3. Step 3: Cross multiply
    166,302.50x = 365,822 × 365,822
  4. Step 4: Simplify right side
    166,302.50x = 133,825,735,684
  5. Step 5: Solve for x
    x = 133,825,735,684/166,302.50
  6. Step 6: Final answer
    x = 804,712.71

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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.