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Finding the Third Proportional to 112,774 and 244,986

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Solution

The third proportional to 112,774 and 244,986 is: 532,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,774 : 244,986 = 244,986 : x
  2. Step 2: Convert to fraction form
    112,774/244,986 = 244,986/x
  3. Step 3: Cross multiply
    112,774x = 244,986 × 244,986
  4. Step 4: Simplify right side
    112,774x = 60,018,140,196
  5. Step 5: Solve for x
    x = 60,018,140,196/112,774
  6. Step 6: Final answer
    x = 532,198.38

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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.