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Finding the Third Proportional to 166,564.69 and 366,337.69

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Solution

The third proportional to 166,564.69 and 366,337.69 is: 805,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,564.69 : 366,337.69 = 366,337.69 : x
  2. Step 2: Convert to fraction form
    166,564.69/366,337.69 = 366,337.69/x
  3. Step 3: Cross multiply
    166,564.69x = 366,337.69 × 366,337.69
  4. Step 4: Simplify right side
    166,564.69x = 134,203,301,282.85
  5. Step 5: Solve for x
    x = 134,203,301,282.85/166,564.69
  6. Step 6: Final answer
    x = 805,712.80

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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.