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Finding the Third Proportional to 151,406 and 327,895

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Solution

The third proportional to 151,406 and 327,895 is: 710,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,406 : 327,895 = 327,895 : x
  2. Step 2: Convert to fraction form
    151,406/327,895 = 327,895/x
  3. Step 3: Cross multiply
    151,406x = 327,895 × 327,895
  4. Step 4: Simplify right side
    151,406x = 107,515,131,025
  5. Step 5: Solve for x
    x = 107,515,131,025/151,406
  6. Step 6: Final answer
    x = 710,111.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.