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Finding the Third Proportional to 167,954.77 and 254,597.55

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Solution

The third proportional to 167,954.77 and 254,597.55 is: 385,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,954.77 : 254,597.55 = 254,597.55 : x
  2. Step 2: Convert to fraction form
    167,954.77/254,597.55 = 254,597.55/x
  3. Step 3: Cross multiply
    167,954.77x = 254,597.55 × 254,597.55
  4. Step 4: Simplify right side
    167,954.77x = 64,819,914,852.85
  5. Step 5: Solve for x
    x = 64,819,914,852.85/167,954.77
  6. Step 6: Final answer
    x = 385,936.74

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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.