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Finding the Third Proportional to 148,874.50 and 323,991

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Solution

The third proportional to 148,874.50 and 323,991 is: 705,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,874.50 : 323,991 = 323,991 : x
  2. Step 2: Convert to fraction form
    148,874.50/323,991 = 323,991/x
  3. Step 3: Cross multiply
    148,874.50x = 323,991 × 323,991
  4. Step 4: Simplify right side
    148,874.50x = 104,970,168,081
  5. Step 5: Solve for x
    x = 104,970,168,081/148,874.50
  6. Step 6: Final answer
    x = 705,091.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.