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Finding the Third Proportional to 214,408 and 323,796

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Solution

The third proportional to 214,408 and 323,796 is: 488,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,408 : 323,796 = 323,796 : x
  2. Step 2: Convert to fraction form
    214,408/323,796 = 323,796/x
  3. Step 3: Cross multiply
    214,408x = 323,796 × 323,796
  4. Step 4: Simplify right side
    214,408x = 104,843,849,616
  5. Step 5: Solve for x
    x = 104,843,849,616/214,408
  6. Step 6: Final answer
    x = 488,992.25

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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.