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Finding the Third Proportional to 148,077 and 324,963

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Solution

The third proportional to 148,077 and 324,963 is: 713,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,077 : 324,963 = 324,963 : x
  2. Step 2: Convert to fraction form
    148,077/324,963 = 324,963/x
  3. Step 3: Cross multiply
    148,077x = 324,963 × 324,963
  4. Step 4: Simplify right side
    148,077x = 105,600,951,369
  5. Step 5: Solve for x
    x = 105,600,951,369/148,077
  6. Step 6: Final answer
    x = 713,148.91

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Why These Related Problems?

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