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Finding the Third Proportional to 76,376.25 and 167,514.75

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Solution

The third proportional to 76,376.25 and 167,514.75 is: 367,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,376.25 : 167,514.75 = 167,514.75 : x
  2. Step 2: Convert to fraction form
    76,376.25/167,514.75 = 167,514.75/x
  3. Step 3: Cross multiply
    76,376.25x = 167,514.75 × 167,514.75
  4. Step 4: Simplify right side
    76,376.25x = 28,061,191,467.56
  5. Step 5: Solve for x
    x = 28,061,191,467.56/76,376.25
  6. Step 6: Final answer
    x = 367,407.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.