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Finding the Third Proportional to 166,832 and 363,040

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Solution

The third proportional to 166,832 and 363,040 is: 790,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,832 : 363,040 = 363,040 : x
  2. Step 2: Convert to fraction form
    166,832/363,040 = 363,040/x
  3. Step 3: Cross multiply
    166,832x = 363,040 × 363,040
  4. Step 4: Simplify right side
    166,832x = 131,798,041,600
  5. Step 5: Solve for x
    x = 131,798,041,600/166,832
  6. Step 6: Final answer
    x = 790,004.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.