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Finding the Third Proportional to 191,998 and 276,564

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Solution

The third proportional to 191,998 and 276,564 is: 398,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,998 : 276,564 = 276,564 : x
  2. Step 2: Convert to fraction form
    191,998/276,564 = 276,564/x
  3. Step 3: Cross multiply
    191,998x = 276,564 × 276,564
  4. Step 4: Simplify right side
    191,998x = 76,487,646,096
  5. Step 5: Solve for x
    x = 76,487,646,096/191,998
  6. Step 6: Final answer
    x = 398,377.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.