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Finding the Third Proportional to 167,354.25 and 254,957.25

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Solution

The third proportional to 167,354.25 and 254,957.25 is: 388,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,354.25 : 254,957.25 = 254,957.25 : x
  2. Step 2: Convert to fraction form
    167,354.25/254,957.25 = 254,957.25/x
  3. Step 3: Cross multiply
    167,354.25x = 254,957.25 × 254,957.25
  4. Step 4: Simplify right side
    167,354.25x = 65,003,199,327.56
  5. Step 5: Solve for x
    x = 65,003,199,327.56/167,354.25
  6. Step 6: Final answer
    x = 388,416.78

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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.