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Finding the Third Proportional to 166,471 and 366,875

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Solution

The third proportional to 166,471 and 366,875 is: 808,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,471 : 366,875 = 366,875 : x
  2. Step 2: Convert to fraction form
    166,471/366,875 = 366,875/x
  3. Step 3: Cross multiply
    166,471x = 366,875 × 366,875
  4. Step 4: Simplify right side
    166,471x = 134,597,265,625
  5. Step 5: Solve for x
    x = 134,597,265,625/166,471
  6. Step 6: Final answer
    x = 808,532.81

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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.