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Finding the Third Proportional to 250,019 and 397,171.50

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Solution

The third proportional to 250,019 and 397,171.50 is: 630,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,019 : 397,171.50 = 397,171.50 : x
  2. Step 2: Convert to fraction form
    250,019/397,171.50 = 397,171.50/x
  3. Step 3: Cross multiply
    250,019x = 397,171.50 × 397,171.50
  4. Step 4: Simplify right side
    250,019x = 157,745,200,412.25
  5. Step 5: Solve for x
    x = 157,745,200,412.25/250,019
  6. Step 6: Final answer
    x = 630,932.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.