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Finding the Third Proportional to 103,882 and 226,976

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Solution

The third proportional to 103,882 and 226,976 is: 495,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,882 : 226,976 = 226,976 : x
  2. Step 2: Convert to fraction form
    103,882/226,976 = 226,976/x
  3. Step 3: Cross multiply
    103,882x = 226,976 × 226,976
  4. Step 4: Simplify right side
    103,882x = 51,518,104,576
  5. Step 5: Solve for x
    x = 51,518,104,576/103,882
  6. Step 6: Final answer
    x = 495,929.08

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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.