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Finding the Third Proportional to 191,431 and 420,891.50

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Solution

The third proportional to 191,431 and 420,891.50 is: 925,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,431 : 420,891.50 = 420,891.50 : x
  2. Step 2: Convert to fraction form
    191,431/420,891.50 = 420,891.50/x
  3. Step 3: Cross multiply
    191,431x = 420,891.50 × 420,891.50
  4. Step 4: Simplify right side
    191,431x = 177,149,654,772.25
  5. Step 5: Solve for x
    x = 177,149,654,772.25/191,431
  6. Step 6: Final answer
    x = 925,396.90

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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.