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Finding the Third Proportional to 269,181 and 391,243.50

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Solution

The third proportional to 269,181 and 391,243.50 is: 568,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,181 : 391,243.50 = 391,243.50 : x
  2. Step 2: Convert to fraction form
    269,181/391,243.50 = 391,243.50/x
  3. Step 3: Cross multiply
    269,181x = 391,243.50 × 391,243.50
  4. Step 4: Simplify right side
    269,181x = 153,071,476,292.25
  5. Step 5: Solve for x
    x = 153,071,476,292.25/269,181
  6. Step 6: Final answer
    x = 568,656.32

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.