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Finding the Third Proportional to 222,214 and 316,826

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Solution

The third proportional to 222,214 and 316,826 is: 451,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,214 : 316,826 = 316,826 : x
  2. Step 2: Convert to fraction form
    222,214/316,826 = 316,826/x
  3. Step 3: Cross multiply
    222,214x = 316,826 × 316,826
  4. Step 4: Simplify right side
    222,214x = 100,378,714,276
  5. Step 5: Solve for x
    x = 100,378,714,276/222,214
  6. Step 6: Final answer
    x = 451,720.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.