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Finding the Third Proportional to 268,109 and 375,006

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Solution

The third proportional to 268,109 and 375,006 is: 524,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,109 : 375,006 = 375,006 : x
  2. Step 2: Convert to fraction form
    268,109/375,006 = 375,006/x
  3. Step 3: Cross multiply
    268,109x = 375,006 × 375,006
  4. Step 4: Simplify right side
    268,109x = 140,629,500,036
  5. Step 5: Solve for x
    x = 140,629,500,036/268,109
  6. Step 6: Final answer
    x = 524,523.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.