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Finding the Third Proportional to 266,112 and 398,214

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Solution

The third proportional to 266,112 and 398,214 is: 595,893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,112 : 398,214 = 398,214 : x
  2. Step 2: Convert to fraction form
    266,112/398,214 = 398,214/x
  3. Step 3: Cross multiply
    266,112x = 398,214 × 398,214
  4. Step 4: Simplify right side
    266,112x = 158,574,389,796
  5. Step 5: Solve for x
    x = 158,574,389,796/266,112
  6. Step 6: Final answer
    x = 595,893.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.