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Finding the Third Proportional to 166,169 and 365,566

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Solution

The third proportional to 166,169 and 365,566 is: 804,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,169 : 365,566 = 365,566 : x
  2. Step 2: Convert to fraction form
    166,169/365,566 = 365,566/x
  3. Step 3: Cross multiply
    166,169x = 365,566 × 365,566
  4. Step 4: Simplify right side
    166,169x = 133,638,500,356
  5. Step 5: Solve for x
    x = 133,638,500,356/166,169
  6. Step 6: Final answer
    x = 804,232.44

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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.