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Finding the Third Proportional to 140,286 and 303,168

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Solution

The third proportional to 140,286 and 303,168 is: 655,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,286 : 303,168 = 303,168 : x
  2. Step 2: Convert to fraction form
    140,286/303,168 = 303,168/x
  3. Step 3: Cross multiply
    140,286x = 303,168 × 303,168
  4. Step 4: Simplify right side
    140,286x = 91,910,836,224
  5. Step 5: Solve for x
    x = 91,910,836,224/140,286
  6. Step 6: Final answer
    x = 655,167.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.