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Finding the Third Proportional to 214,567 and 324,616

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Solution

The third proportional to 214,567 and 324,616 is: 491,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,567 : 324,616 = 324,616 : x
  2. Step 2: Convert to fraction form
    214,567/324,616 = 324,616/x
  3. Step 3: Cross multiply
    214,567x = 324,616 × 324,616
  4. Step 4: Simplify right side
    214,567x = 105,375,547,456
  5. Step 5: Solve for x
    x = 105,375,547,456/214,567
  6. Step 6: Final answer
    x = 491,107.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.