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Finding the Third Proportional to 191,797 and 283,979

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Solution

The third proportional to 191,797 and 283,979 is: 420,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,797 : 283,979 = 283,979 : x
  2. Step 2: Convert to fraction form
    191,797/283,979 = 283,979/x
  3. Step 3: Cross multiply
    191,797x = 283,979 × 283,979
  4. Step 4: Simplify right side
    191,797x = 80,644,072,441
  5. Step 5: Solve for x
    x = 80,644,072,441/191,797
  6. Step 6: Final answer
    x = 420,465.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.