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Finding the Third Proportional to 152,268 and 327,866

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Solution

The third proportional to 152,268 and 327,866 is: 705,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,268 : 327,866 = 327,866 : x
  2. Step 2: Convert to fraction form
    152,268/327,866 = 327,866/x
  3. Step 3: Cross multiply
    152,268x = 327,866 × 327,866
  4. Step 4: Simplify right side
    152,268x = 107,496,113,956
  5. Step 5: Solve for x
    x = 107,496,113,956/152,268
  6. Step 6: Final answer
    x = 705,966.55

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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.