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Finding the Third Proportional to 140,157 and 329,040.56

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Solution

The third proportional to 140,157 and 329,040.56 is: 772,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,157 : 329,040.56 = 329,040.56 : x
  2. Step 2: Convert to fraction form
    140,157/329,040.56 = 329,040.56/x
  3. Step 3: Cross multiply
    140,157x = 329,040.56 × 329,040.56
  4. Step 4: Simplify right side
    140,157x = 108,267,691,770.32
  5. Step 5: Solve for x
    x = 108,267,691,770.32/140,157
  6. Step 6: Final answer
    x = 772,474.38

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.