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Finding the Third Proportional to 140,578 and 303,299

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Solution

The third proportional to 140,578 and 303,299 is: 654,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,578 : 303,299 = 303,299 : x
  2. Step 2: Convert to fraction form
    140,578/303,299 = 303,299/x
  3. Step 3: Cross multiply
    140,578x = 303,299 × 303,299
  4. Step 4: Simplify right side
    140,578x = 91,990,283,401
  5. Step 5: Solve for x
    x = 91,990,283,401/140,578
  6. Step 6: Final answer
    x = 654,371.83

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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.