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Finding the Third Proportional to 152,382 and 327,444

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Solution

The third proportional to 152,382 and 327,444 is: 703,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,382 : 327,444 = 327,444 : x
  2. Step 2: Convert to fraction form
    152,382/327,444 = 327,444/x
  3. Step 3: Cross multiply
    152,382x = 327,444 × 327,444
  4. Step 4: Simplify right side
    152,382x = 107,219,573,136
  5. Step 5: Solve for x
    x = 107,219,573,136/152,382
  6. Step 6: Final answer
    x = 703,623.61

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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.