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Finding the Third Proportional to 217,408 and 334,212

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Solution

The third proportional to 217,408 and 334,212 is: 513,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,408 : 334,212 = 334,212 : x
  2. Step 2: Convert to fraction form
    217,408/334,212 = 334,212/x
  3. Step 3: Cross multiply
    217,408x = 334,212 × 334,212
  4. Step 4: Simplify right side
    217,408x = 111,697,660,944
  5. Step 5: Solve for x
    x = 111,697,660,944/217,408
  6. Step 6: Final answer
    x = 513,769.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.