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Finding the Third Proportional to 166,216 and 365,656

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Solution

The third proportional to 166,216 and 365,656 is: 804,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,216 : 365,656 = 365,656 : x
  2. Step 2: Convert to fraction form
    166,216/365,656 = 365,656/x
  3. Step 3: Cross multiply
    166,216x = 365,656 × 365,656
  4. Step 4: Simplify right side
    166,216x = 133,704,310,336
  5. Step 5: Solve for x
    x = 133,704,310,336/166,216
  6. Step 6: Final answer
    x = 804,400.96

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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.