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Finding the Third Proportional to 155,817 and 222,799

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Solution

The third proportional to 155,817 and 222,799 is: 318,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,817 : 222,799 = 222,799 : x
  2. Step 2: Convert to fraction form
    155,817/222,799 = 222,799/x
  3. Step 3: Cross multiply
    155,817x = 222,799 × 222,799
  4. Step 4: Simplify right side
    155,817x = 49,639,394,401
  5. Step 5: Solve for x
    x = 49,639,394,401/155,817
  6. Step 6: Final answer
    x = 318,574.96

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.