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Finding the Third Proportional to 167,434 and 255,081

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Solution

The third proportional to 167,434 and 255,081 is: 388,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,434 : 255,081 = 255,081 : x
  2. Step 2: Convert to fraction form
    167,434/255,081 = 255,081/x
  3. Step 3: Cross multiply
    167,434x = 255,081 × 255,081
  4. Step 4: Simplify right side
    167,434x = 65,066,316,561
  5. Step 5: Solve for x
    x = 65,066,316,561/167,434
  6. Step 6: Final answer
    x = 388,608.74

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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.