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Finding the Third Proportional to 166,972 and 365,780

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Solution

The third proportional to 166,972 and 365,780 is: 801,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,972 : 365,780 = 365,780 : x
  2. Step 2: Convert to fraction form
    166,972/365,780 = 365,780/x
  3. Step 3: Cross multiply
    166,972x = 365,780 × 365,780
  4. Step 4: Simplify right side
    166,972x = 133,795,008,400
  5. Step 5: Solve for x
    x = 133,795,008,400/166,972
  6. Step 6: Final answer
    x = 801,302.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.