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Finding the Third Proportional to 142,263 and 302,049

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Solution

The third proportional to 142,263 and 302,049 is: 641,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,263 : 302,049 = 302,049 : x
  2. Step 2: Convert to fraction form
    142,263/302,049 = 302,049/x
  3. Step 3: Cross multiply
    142,263x = 302,049 × 302,049
  4. Step 4: Simplify right side
    142,263x = 91,233,598,401
  5. Step 5: Solve for x
    x = 91,233,598,401/142,263
  6. Step 6: Final answer
    x = 641,302.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.