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Finding the Third Proportional to 167,534 and 255,891

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Solution

The third proportional to 167,534 and 255,891 is: 390,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,534 : 255,891 = 255,891 : x
  2. Step 2: Convert to fraction form
    167,534/255,891 = 255,891/x
  3. Step 3: Cross multiply
    167,534x = 255,891 × 255,891
  4. Step 4: Simplify right side
    167,534x = 65,480,203,881
  5. Step 5: Solve for x
    x = 65,480,203,881/167,534
  6. Step 6: Final answer
    x = 390,847.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.