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Finding the Third Proportional to 158,921 and 222,793

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Solution

The third proportional to 158,921 and 222,793 is: 312,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,921 : 222,793 = 222,793 : x
  2. Step 2: Convert to fraction form
    158,921/222,793 = 222,793/x
  3. Step 3: Cross multiply
    158,921x = 222,793 × 222,793
  4. Step 4: Simplify right side
    158,921x = 49,636,720,849
  5. Step 5: Solve for x
    x = 49,636,720,849/158,921
  6. Step 6: Final answer
    x = 312,335.82

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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.