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Finding the Third Proportional to 182,023 and 271,630

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Solution

The third proportional to 182,023 and 271,630 is: 405,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,023 : 271,630 = 271,630 : x
  2. Step 2: Convert to fraction form
    182,023/271,630 = 271,630/x
  3. Step 3: Cross multiply
    182,023x = 271,630 × 271,630
  4. Step 4: Simplify right side
    182,023x = 73,782,856,900
  5. Step 5: Solve for x
    x = 73,782,856,900/182,023
  6. Step 6: Final answer
    x = 405,349.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.