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Finding the Third Proportional to 194,807 and 422,830

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Solution

The third proportional to 194,807 and 422,830 is: 917,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,807 : 422,830 = 422,830 : x
  2. Step 2: Convert to fraction form
    194,807/422,830 = 422,830/x
  3. Step 3: Cross multiply
    194,807x = 422,830 × 422,830
  4. Step 4: Simplify right side
    194,807x = 178,785,208,900
  5. Step 5: Solve for x
    x = 178,785,208,900/194,807
  6. Step 6: Final answer
    x = 917,755.57

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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.