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Finding the Third Proportional to 148,678.31 and 239,394.94

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Solution

The third proportional to 148,678.31 and 239,394.94 is: 385,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,678.31 : 239,394.94 = 239,394.94 : x
  2. Step 2: Convert to fraction form
    148,678.31/239,394.94 = 239,394.94/x
  3. Step 3: Cross multiply
    148,678.31x = 239,394.94 × 239,394.94
  4. Step 4: Simplify right side
    148,678.31x = 57,309,936,100.63
  5. Step 5: Solve for x
    x = 57,309,936,100.63/148,678.31
  6. Step 6: Final answer
    x = 385,462.65

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.