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Finding the Third Proportional to 152,267 and 327,864

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Solution

The third proportional to 152,267 and 327,864 is: 705,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,267 : 327,864 = 327,864 : x
  2. Step 2: Convert to fraction form
    152,267/327,864 = 327,864/x
  3. Step 3: Cross multiply
    152,267x = 327,864 × 327,864
  4. Step 4: Simplify right side
    152,267x = 107,494,802,496
  5. Step 5: Solve for x
    x = 107,494,802,496/152,267
  6. Step 6: Final answer
    x = 705,962.57

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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.