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Finding the Third Proportional to 112,816 and 244,496

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Solution

The third proportional to 112,816 and 244,496 is: 529,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,816 : 244,496 = 244,496 : x
  2. Step 2: Convert to fraction form
    112,816/244,496 = 244,496/x
  3. Step 3: Cross multiply
    112,816x = 244,496 × 244,496
  4. Step 4: Simplify right side
    112,816x = 59,778,294,016
  5. Step 5: Solve for x
    x = 59,778,294,016/112,816
  6. Step 6: Final answer
    x = 529,874.26

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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.