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Finding the Third Proportional to 155,892 and 222,938

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Solution

The third proportional to 155,892 and 222,938 is: 318,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,892 : 222,938 = 222,938 : x
  2. Step 2: Convert to fraction form
    155,892/222,938 = 222,938/x
  3. Step 3: Cross multiply
    155,892x = 222,938 × 222,938
  4. Step 4: Simplify right side
    155,892x = 49,701,351,844
  5. Step 5: Solve for x
    x = 49,701,351,844/155,892
  6. Step 6: Final answer
    x = 318,819.13

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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.