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Finding the Third Proportional to 166,464 and 367,218

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Solution

The third proportional to 166,464 and 367,218 is: 810,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,464 : 367,218 = 367,218 : x
  2. Step 2: Convert to fraction form
    166,464/367,218 = 367,218/x
  3. Step 3: Cross multiply
    166,464x = 367,218 × 367,218
  4. Step 4: Simplify right side
    166,464x = 134,849,059,524
  5. Step 5: Solve for x
    x = 134,849,059,524/166,464
  6. Step 6: Final answer
    x = 810,079.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.