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Finding the Third Proportional to 197,452.13 and 324,334.13

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Solution

The third proportional to 197,452.13 and 324,334.13 is: 532,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,452.13 : 324,334.13 = 324,334.13 : x
  2. Step 2: Convert to fraction form
    197,452.13/324,334.13 = 324,334.13/x
  3. Step 3: Cross multiply
    197,452.13x = 324,334.13 × 324,334.13
  4. Step 4: Simplify right side
    197,452.13x = 105,192,624,639.52
  5. Step 5: Solve for x
    x = 105,192,624,639.52/197,452.13
  6. Step 6: Final answer
    x = 532,750.03

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.