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Finding the Third Proportional to 140,903 and 302,299

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Solution

The third proportional to 140,903 and 302,299 is: 648,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,903 : 302,299 = 302,299 : x
  2. Step 2: Convert to fraction form
    140,903/302,299 = 302,299/x
  3. Step 3: Cross multiply
    140,903x = 302,299 × 302,299
  4. Step 4: Simplify right side
    140,903x = 91,384,685,401
  5. Step 5: Solve for x
    x = 91,384,685,401/140,903
  6. Step 6: Final answer
    x = 648,564.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.