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Finding the Third Proportional to 148,998.38 and 322,749

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Solution

The third proportional to 148,998.38 and 322,749 is: 699,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,998.38 : 322,749 = 322,749 : x
  2. Step 2: Convert to fraction form
    148,998.38/322,749 = 322,749/x
  3. Step 3: Cross multiply
    148,998.38x = 322,749 × 322,749
  4. Step 4: Simplify right side
    148,998.38x = 104,166,917,001
  5. Step 5: Solve for x
    x = 104,166,917,001/148,998.38
  6. Step 6: Final answer
    x = 699,114.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.