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Finding the Third Proportional to 105,048 and 226,944

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Solution

The third proportional to 105,048 and 226,944 is: 490,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,048 : 226,944 = 226,944 : x
  2. Step 2: Convert to fraction form
    105,048/226,944 = 226,944/x
  3. Step 3: Cross multiply
    105,048x = 226,944 × 226,944
  4. Step 4: Simplify right side
    105,048x = 51,503,579,136
  5. Step 5: Solve for x
    x = 51,503,579,136/105,048
  6. Step 6: Final answer
    x = 490,286.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.