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Finding the Third Proportional to 151,671 and 326,238

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Solution

The third proportional to 151,671 and 326,238 is: 701,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,671 : 326,238 = 326,238 : x
  2. Step 2: Convert to fraction form
    151,671/326,238 = 326,238/x
  3. Step 3: Cross multiply
    151,671x = 326,238 × 326,238
  4. Step 4: Simplify right side
    151,671x = 106,431,232,644
  5. Step 5: Solve for x
    x = 106,431,232,644/151,671
  6. Step 6: Final answer
    x = 701,724.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.