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Finding the Third Proportional to 194,695.50 and 422,439

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Solution

The third proportional to 194,695.50 and 422,439 is: 916,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,695.50 : 422,439 = 422,439 : x
  2. Step 2: Convert to fraction form
    194,695.50/422,439 = 422,439/x
  3. Step 3: Cross multiply
    194,695.50x = 422,439 × 422,439
  4. Step 4: Simplify right side
    194,695.50x = 178,454,708,721
  5. Step 5: Solve for x
    x = 178,454,708,721/194,695.50
  6. Step 6: Final answer
    x = 916,583.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.