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Finding the Third Proportional to 194,692 and 422,432

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Solution

The third proportional to 194,692 and 422,432 is: 916,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,692 : 422,432 = 422,432 : x
  2. Step 2: Convert to fraction form
    194,692/422,432 = 422,432/x
  3. Step 3: Cross multiply
    194,692x = 422,432 × 422,432
  4. Step 4: Simplify right side
    194,692x = 178,448,794,624
  5. Step 5: Solve for x
    x = 178,448,794,624/194,692
  6. Step 6: Final answer
    x = 916,569.73

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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.