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Finding the Third Proportional to 214,827 and 322,092

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Solution

The third proportional to 214,827 and 322,092 is: 482,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,827 : 322,092 = 322,092 : x
  2. Step 2: Convert to fraction form
    214,827/322,092 = 322,092/x
  3. Step 3: Cross multiply
    214,827x = 322,092 × 322,092
  4. Step 4: Simplify right side
    214,827x = 103,743,256,464
  5. Step 5: Solve for x
    x = 103,743,256,464/214,827
  6. Step 6: Final answer
    x = 482,915.35

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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.