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Finding the Third Proportional to 191,118 and 422,970

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Solution

The third proportional to 191,118 and 422,970 is: 936,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,118 : 422,970 = 422,970 : x
  2. Step 2: Convert to fraction form
    191,118/422,970 = 422,970/x
  3. Step 3: Cross multiply
    191,118x = 422,970 × 422,970
  4. Step 4: Simplify right side
    191,118x = 178,903,620,900
  5. Step 5: Solve for x
    x = 178,903,620,900/191,118
  6. Step 6: Final answer
    x = 936,089.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.