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Finding the Third Proportional to 194,472 and 422,142

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Solution

The third proportional to 194,472 and 422,142 is: 916,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,472 : 422,142 = 422,142 : x
  2. Step 2: Convert to fraction form
    194,472/422,142 = 422,142/x
  3. Step 3: Cross multiply
    194,472x = 422,142 × 422,142
  4. Step 4: Simplify right side
    194,472x = 178,203,868,164
  5. Step 5: Solve for x
    x = 178,203,868,164/194,472
  6. Step 6: Final answer
    x = 916,347.18

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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.