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Finding the Third Proportional to 103,941 and 228,339

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Solution

The third proportional to 103,941 and 228,339 is: 501,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,941 : 228,339 = 228,339 : x
  2. Step 2: Convert to fraction form
    103,941/228,339 = 228,339/x
  3. Step 3: Cross multiply
    103,941x = 228,339 × 228,339
  4. Step 4: Simplify right side
    103,941x = 52,138,698,921
  5. Step 5: Solve for x
    x = 52,138,698,921/103,941
  6. Step 6: Final answer
    x = 501,618.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.