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Finding the Third Proportional to 217,464 and 325,184

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Solution

The third proportional to 217,464 and 325,184 is: 486,262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,464 : 325,184 = 325,184 : x
  2. Step 2: Convert to fraction form
    217,464/325,184 = 325,184/x
  3. Step 3: Cross multiply
    217,464x = 325,184 × 325,184
  4. Step 4: Simplify right side
    217,464x = 105,744,633,856
  5. Step 5: Solve for x
    x = 105,744,633,856/217,464
  6. Step 6: Final answer
    x = 486,262.71

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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.