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Finding the Third Proportional to 197,969.50 and 431,672

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Solution

The third proportional to 197,969.50 and 431,672 is: 941,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,969.50 : 431,672 = 431,672 : x
  2. Step 2: Convert to fraction form
    197,969.50/431,672 = 431,672/x
  3. Step 3: Cross multiply
    197,969.50x = 431,672 × 431,672
  4. Step 4: Simplify right side
    197,969.50x = 186,340,715,584
  5. Step 5: Solve for x
    x = 186,340,715,584/197,969.50
  6. Step 6: Final answer
    x = 941,259.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.