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Finding the Third Proportional to 112,778 and 244,994

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Solution

The third proportional to 112,778 and 244,994 is: 532,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,778 : 244,994 = 244,994 : x
  2. Step 2: Convert to fraction form
    112,778/244,994 = 244,994/x
  3. Step 3: Cross multiply
    112,778x = 244,994 × 244,994
  4. Step 4: Simplify right side
    112,778x = 60,022,060,036
  5. Step 5: Solve for x
    x = 60,022,060,036/112,778
  6. Step 6: Final answer
    x = 532,214.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.