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Finding the Third Proportional to 191,593 and 290,042

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Solution

The third proportional to 191,593 and 290,042 is: 439,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,593 : 290,042 = 290,042 : x
  2. Step 2: Convert to fraction form
    191,593/290,042 = 290,042/x
  3. Step 3: Cross multiply
    191,593x = 290,042 × 290,042
  4. Step 4: Simplify right side
    191,593x = 84,124,361,764
  5. Step 5: Solve for x
    x = 84,124,361,764/191,593
  6. Step 6: Final answer
    x = 439,078.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.