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Finding the Third Proportional to 167,304.75 and 254,878

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Solution

The third proportional to 167,304.75 and 254,878 is: 388,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,304.75 : 254,878 = 254,878 : x
  2. Step 2: Convert to fraction form
    167,304.75/254,878 = 254,878/x
  3. Step 3: Cross multiply
    167,304.75x = 254,878 × 254,878
  4. Step 4: Simplify right side
    167,304.75x = 64,962,794,884
  5. Step 5: Solve for x
    x = 64,962,794,884/167,304.75
  6. Step 6: Final answer
    x = 388,290.20

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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.