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Finding the Third Proportional to 80,230 and 162,408

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Solution

The third proportional to 80,230 and 162,408 is: 328,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,230 : 162,408 = 162,408 : x
  2. Step 2: Convert to fraction form
    80,230/162,408 = 162,408/x
  3. Step 3: Cross multiply
    80,230x = 162,408 × 162,408
  4. Step 4: Simplify right side
    80,230x = 26,376,358,464
  5. Step 5: Solve for x
    x = 26,376,358,464/80,230
  6. Step 6: Final answer
    x = 328,759.30

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.