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Finding the Third Proportional to 194,859 and 293,571

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Solution

The third proportional to 194,859 and 293,571 is: 442,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,859 : 293,571 = 293,571 : x
  2. Step 2: Convert to fraction form
    194,859/293,571 = 293,571/x
  3. Step 3: Cross multiply
    194,859x = 293,571 × 293,571
  4. Step 4: Simplify right side
    194,859x = 86,183,932,041
  5. Step 5: Solve for x
    x = 86,183,932,041/194,859
  6. Step 6: Final answer
    x = 442,288.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.