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Finding the Third Proportional to 191,995.75 and 276,561.53

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Solution

The third proportional to 191,995.75 and 276,561.53 is: 398,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,995.75 : 276,561.53 = 276,561.53 : x
  2. Step 2: Convert to fraction form
    191,995.75/276,561.53 = 276,561.53/x
  3. Step 3: Cross multiply
    191,995.75x = 276,561.53 × 276,561.53
  4. Step 4: Simplify right side
    191,995.75x = 76,486,278,406.71
  5. Step 5: Solve for x
    x = 76,486,278,406.71/191,995.75
  6. Step 6: Final answer
    x = 398,374.86

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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.