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Finding the Third Proportional to 214,184 and 445,216

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Solution

The third proportional to 214,184 and 445,216 is: 925,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,184 : 445,216 = 445,216 : x
  2. Step 2: Convert to fraction form
    214,184/445,216 = 445,216/x
  3. Step 3: Cross multiply
    214,184x = 445,216 × 445,216
  4. Step 4: Simplify right side
    214,184x = 198,217,286,656
  5. Step 5: Solve for x
    x = 198,217,286,656/214,184
  6. Step 6: Final answer
    x = 925,453.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.