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Finding the Third Proportional to 166,278 and 363,612

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Solution

The third proportional to 166,278 and 363,612 is: 795,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,278 : 363,612 = 363,612 : x
  2. Step 2: Convert to fraction form
    166,278/363,612 = 363,612/x
  3. Step 3: Cross multiply
    166,278x = 363,612 × 363,612
  4. Step 4: Simplify right side
    166,278x = 132,213,686,544
  5. Step 5: Solve for x
    x = 132,213,686,544/166,278
  6. Step 6: Final answer
    x = 795,136.38

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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.