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Finding the Third Proportional to 152,282 and 327,244

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Solution

The third proportional to 152,282 and 327,244 is: 703,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,282 : 327,244 = 327,244 : x
  2. Step 2: Convert to fraction form
    152,282/327,244 = 327,244/x
  3. Step 3: Cross multiply
    152,282x = 327,244 × 327,244
  4. Step 4: Simplify right side
    152,282x = 107,088,635,536
  5. Step 5: Solve for x
    x = 107,088,635,536/152,282
  6. Step 6: Final answer
    x = 703,225.83

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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.