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Finding the Third Proportional to 197,359.50 and 434,085

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Solution

The third proportional to 197,359.50 and 434,085 is: 954,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,359.50 : 434,085 = 434,085 : x
  2. Step 2: Convert to fraction form
    197,359.50/434,085 = 434,085/x
  3. Step 3: Cross multiply
    197,359.50x = 434,085 × 434,085
  4. Step 4: Simplify right side
    197,359.50x = 188,429,787,225
  5. Step 5: Solve for x
    x = 188,429,787,225/197,359.50
  6. Step 6: Final answer
    x = 954,754.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.