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Finding the Third Proportional to 152,571 and 319,084

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Solution

The third proportional to 152,571 and 319,084 is: 667,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,571 : 319,084 = 319,084 : x
  2. Step 2: Convert to fraction form
    152,571/319,084 = 319,084/x
  3. Step 3: Cross multiply
    152,571x = 319,084 × 319,084
  4. Step 4: Simplify right side
    152,571x = 101,814,599,056
  5. Step 5: Solve for x
    x = 101,814,599,056/152,571
  6. Step 6: Final answer
    x = 667,326.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.