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Finding the Third Proportional to 103,844 and 225,913

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Solution

The third proportional to 103,844 and 225,913 is: 491,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,844 : 225,913 = 225,913 : x
  2. Step 2: Convert to fraction form
    103,844/225,913 = 225,913/x
  3. Step 3: Cross multiply
    103,844x = 225,913 × 225,913
  4. Step 4: Simplify right side
    103,844x = 51,036,683,569
  5. Step 5: Solve for x
    x = 51,036,683,569/103,844
  6. Step 6: Final answer
    x = 491,474.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.