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Finding the Third Proportional to 235,542 and 336,427

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Solution

The third proportional to 235,542 and 336,427 is: 480,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,542 : 336,427 = 336,427 : x
  2. Step 2: Convert to fraction form
    235,542/336,427 = 336,427/x
  3. Step 3: Cross multiply
    235,542x = 336,427 × 336,427
  4. Step 4: Simplify right side
    235,542x = 113,183,126,329
  5. Step 5: Solve for x
    x = 113,183,126,329/235,542
  6. Step 6: Final answer
    x = 480,522.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.