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Finding the Third Proportional to 194,967 and 422,982

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Solution

The third proportional to 194,967 and 422,982 is: 917,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,967 : 422,982 = 422,982 : x
  2. Step 2: Convert to fraction form
    194,967/422,982 = 422,982/x
  3. Step 3: Cross multiply
    194,967x = 422,982 × 422,982
  4. Step 4: Simplify right side
    194,967x = 178,913,772,324
  5. Step 5: Solve for x
    x = 178,913,772,324/194,967
  6. Step 6: Final answer
    x = 917,661.82

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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.