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Finding the Third Proportional to 227,275.50 and 336,519

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Solution

The third proportional to 227,275.50 and 336,519 is: 498,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,275.50 : 336,519 = 336,519 : x
  2. Step 2: Convert to fraction form
    227,275.50/336,519 = 336,519/x
  3. Step 3: Cross multiply
    227,275.50x = 336,519 × 336,519
  4. Step 4: Simplify right side
    227,275.50x = 113,245,037,361
  5. Step 5: Solve for x
    x = 113,245,037,361/227,275.50
  6. Step 6: Final answer
    x = 498,272.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.