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Finding the Third Proportional to 113,944 and 241,016

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Solution

The third proportional to 113,944 and 241,016 is: 509,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,944 : 241,016 = 241,016 : x
  2. Step 2: Convert to fraction form
    113,944/241,016 = 241,016/x
  3. Step 3: Cross multiply
    113,944x = 241,016 × 241,016
  4. Step 4: Simplify right side
    113,944x = 58,088,712,256
  5. Step 5: Solve for x
    x = 58,088,712,256/113,944
  6. Step 6: Final answer
    x = 509,800.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.