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Finding the Third Proportional to 213,832 and 298,950

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Solution

The third proportional to 213,832 and 298,950 is: 417,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,832 : 298,950 = 298,950 : x
  2. Step 2: Convert to fraction form
    213,832/298,950 = 298,950/x
  3. Step 3: Cross multiply
    213,832x = 298,950 × 298,950
  4. Step 4: Simplify right side
    213,832x = 89,371,102,500
  5. Step 5: Solve for x
    x = 89,371,102,500/213,832
  6. Step 6: Final answer
    x = 417,950.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.