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Finding the Third Proportional to 148,351.50 and 324,815.06

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Solution

The third proportional to 148,351.50 and 324,815.06 is: 711,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,351.50 : 324,815.06 = 324,815.06 : x
  2. Step 2: Convert to fraction form
    148,351.50/324,815.06 = 324,815.06/x
  3. Step 3: Cross multiply
    148,351.50x = 324,815.06 × 324,815.06
  4. Step 4: Simplify right side
    148,351.50x = 105,504,824,826.88
  5. Step 5: Solve for x
    x = 105,504,824,826.88/148,351.50
  6. Step 6: Final answer
    x = 711,181.38

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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.