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Finding the Third Proportional to 167,974 and 254,627

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Solution

The third proportional to 167,974 and 254,627 is: 385,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,974 : 254,627 = 254,627 : x
  2. Step 2: Convert to fraction form
    167,974/254,627 = 254,627/x
  3. Step 3: Cross multiply
    167,974x = 254,627 × 254,627
  4. Step 4: Simplify right side
    167,974x = 64,834,909,129
  5. Step 5: Solve for x
    x = 64,834,909,129/167,974
  6. Step 6: Final answer
    x = 385,981.81

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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.