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Finding the Third Proportional to 146,989.50 and 321,991

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Solution

The third proportional to 146,989.50 and 321,991 is: 705,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,989.50 : 321,991 = 321,991 : x
  2. Step 2: Convert to fraction form
    146,989.50/321,991 = 321,991/x
  3. Step 3: Cross multiply
    146,989.50x = 321,991 × 321,991
  4. Step 4: Simplify right side
    146,989.50x = 103,678,204,081
  5. Step 5: Solve for x
    x = 103,678,204,081/146,989.50
  6. Step 6: Final answer
    x = 705,344.29

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