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Finding the Third Proportional to 167,385 and 251,442

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Solution

The third proportional to 167,385 and 251,442 is: 377,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,385 : 251,442 = 251,442 : x
  2. Step 2: Convert to fraction form
    167,385/251,442 = 251,442/x
  3. Step 3: Cross multiply
    167,385x = 251,442 × 251,442
  4. Step 4: Simplify right side
    167,385x = 63,223,079,364
  5. Step 5: Solve for x
    x = 63,223,079,364/167,385
  6. Step 6: Final answer
    x = 377,710.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.