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Finding the Third Proportional to 166,177 and 365,582

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Solution

The third proportional to 166,177 and 365,582 is: 804,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,177 : 365,582 = 365,582 : x
  2. Step 2: Convert to fraction form
    166,177/365,582 = 365,582/x
  3. Step 3: Cross multiply
    166,177x = 365,582 × 365,582
  4. Step 4: Simplify right side
    166,177x = 133,650,198,724
  5. Step 5: Solve for x
    x = 133,650,198,724/166,177
  6. Step 6: Final answer
    x = 804,264.12

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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.