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Finding the Third Proportional to 103,237 and 226,378

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Solution

The third proportional to 103,237 and 226,378 is: 496,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,237 : 226,378 = 226,378 : x
  2. Step 2: Convert to fraction form
    103,237/226,378 = 226,378/x
  3. Step 3: Cross multiply
    103,237x = 226,378 × 226,378
  4. Step 4: Simplify right side
    103,237x = 51,246,998,884
  5. Step 5: Solve for x
    x = 51,246,998,884/103,237
  6. Step 6: Final answer
    x = 496,401.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.