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Finding the Third Proportional to 213,115 and 318,214

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Solution

The third proportional to 213,115 and 318,214 is: 475,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,115 : 318,214 = 318,214 : x
  2. Step 2: Convert to fraction form
    213,115/318,214 = 318,214/x
  3. Step 3: Cross multiply
    213,115x = 318,214 × 318,214
  4. Step 4: Simplify right side
    213,115x = 101,260,149,796
  5. Step 5: Solve for x
    x = 101,260,149,796/213,115
  6. Step 6: Final answer
    x = 475,143.23

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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.