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Finding the Third Proportional to 146,821.50 and 323,991

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Solution

The third proportional to 146,821.50 and 323,991 is: 714,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,821.50 : 323,991 = 323,991 : x
  2. Step 2: Convert to fraction form
    146,821.50/323,991 = 323,991/x
  3. Step 3: Cross multiply
    146,821.50x = 323,991 × 323,991
  4. Step 4: Simplify right side
    146,821.50x = 104,970,168,081
  5. Step 5: Solve for x
    x = 104,970,168,081/146,821.50
  6. Step 6: Final answer
    x = 714,950.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.