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Finding the Third Proportional to 167,340 and 254,931

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Solution

The third proportional to 167,340 and 254,931 is: 388,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,340 : 254,931 = 254,931 : x
  2. Step 2: Convert to fraction form
    167,340/254,931 = 254,931/x
  3. Step 3: Cross multiply
    167,340x = 254,931 × 254,931
  4. Step 4: Simplify right side
    167,340x = 64,989,814,761
  5. Step 5: Solve for x
    x = 64,989,814,761/167,340
  6. Step 6: Final answer
    x = 388,369.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.