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Finding the Third Proportional to 214,821 and 322,083

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Solution

The third proportional to 214,821 and 322,083 is: 482,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,821 : 322,083 = 322,083 : x
  2. Step 2: Convert to fraction form
    214,821/322,083 = 322,083/x
  3. Step 3: Cross multiply
    214,821x = 322,083 × 322,083
  4. Step 4: Simplify right side
    214,821x = 103,737,458,889
  5. Step 5: Solve for x
    x = 103,737,458,889/214,821
  6. Step 6: Final answer
    x = 482,901.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.