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Finding the Third Proportional to 191,812 and 290,384

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Solution

The third proportional to 191,812 and 290,384 is: 439,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,812 : 290,384 = 290,384 : x
  2. Step 2: Convert to fraction form
    191,812/290,384 = 290,384/x
  3. Step 3: Cross multiply
    191,812x = 290,384 × 290,384
  4. Step 4: Simplify right side
    191,812x = 84,322,867,456
  5. Step 5: Solve for x
    x = 84,322,867,456/191,812
  6. Step 6: Final answer
    x = 439,612.05

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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.