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Finding the Third Proportional to 158,226 and 322,327

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Solution

The third proportional to 158,226 and 322,327 is: 656,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,226 : 322,327 = 322,327 : x
  2. Step 2: Convert to fraction form
    158,226/322,327 = 322,327/x
  3. Step 3: Cross multiply
    158,226x = 322,327 × 322,327
  4. Step 4: Simplify right side
    158,226x = 103,894,694,929
  5. Step 5: Solve for x
    x = 103,894,694,929/158,226
  6. Step 6: Final answer
    x = 656,622.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.