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Finding the Third Proportional to 197,041.50 and 305,727.75

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Solution

The third proportional to 197,041.50 and 305,727.75 is: 474,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,041.50 : 305,727.75 = 305,727.75 : x
  2. Step 2: Convert to fraction form
    197,041.50/305,727.75 = 305,727.75/x
  3. Step 3: Cross multiply
    197,041.50x = 305,727.75 × 305,727.75
  4. Step 4: Simplify right side
    197,041.50x = 93,469,457,120.06
  5. Step 5: Solve for x
    x = 93,469,457,120.06/197,041.50
  6. Step 6: Final answer
    x = 474,364.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.