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Finding the Third Proportional to 103,884 and 226,980

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Solution

The third proportional to 103,884 and 226,980 is: 495,937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,884 : 226,980 = 226,980 : x
  2. Step 2: Convert to fraction form
    103,884/226,980 = 226,980/x
  3. Step 3: Cross multiply
    103,884x = 226,980 × 226,980
  4. Step 4: Simplify right side
    103,884x = 51,519,920,400
  5. Step 5: Solve for x
    x = 51,519,920,400/103,884
  6. Step 6: Final answer
    x = 495,937.01

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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.