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Finding the Third Proportional to 154,330.31 and 231,906.38

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Solution

The third proportional to 154,330.31 and 231,906.38 is: 348,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,330.31 : 231,906.38 = 231,906.38 : x
  2. Step 2: Convert to fraction form
    154,330.31/231,906.38 = 231,906.38/x
  3. Step 3: Cross multiply
    154,330.31x = 231,906.38 × 231,906.38
  4. Step 4: Simplify right side
    154,330.31x = 53,780,566,765.64
  5. Step 5: Solve for x
    x = 53,780,566,765.64/154,330.31
  6. Step 6: Final answer
    x = 348,477.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.