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Finding the Third Proportional to 103,684 and 225,807

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Solution

The third proportional to 103,684 and 225,807 is: 491,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 225,807 = 225,807 : x
  2. Step 2: Convert to fraction form
    103,684/225,807 = 225,807/x
  3. Step 3: Cross multiply
    103,684x = 225,807 × 225,807
  4. Step 4: Simplify right side
    103,684x = 50,988,801,249
  5. Step 5: Solve for x
    x = 50,988,801,249/103,684
  6. Step 6: Final answer
    x = 491,771.16

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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.