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Finding the Third Proportional to 211,214 and 324,212

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Solution

The third proportional to 211,214 and 324,212 is: 497,663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,214 : 324,212 = 324,212 : x
  2. Step 2: Convert to fraction form
    211,214/324,212 = 324,212/x
  3. Step 3: Cross multiply
    211,214x = 324,212 × 324,212
  4. Step 4: Simplify right side
    211,214x = 105,113,420,944
  5. Step 5: Solve for x
    x = 105,113,420,944/211,214
  6. Step 6: Final answer
    x = 497,663.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.