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Finding the Third Proportional to 70,578 and 151,390

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Solution

The third proportional to 70,578 and 151,390 is: 324,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,578 : 151,390 = 151,390 : x
  2. Step 2: Convert to fraction form
    70,578/151,390 = 151,390/x
  3. Step 3: Cross multiply
    70,578x = 151,390 × 151,390
  4. Step 4: Simplify right side
    70,578x = 22,918,932,100
  5. Step 5: Solve for x
    x = 22,918,932,100/70,578
  6. Step 6: Final answer
    x = 324,731.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.