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Finding the Third Proportional to 191,493 and 303,079

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Solution

The third proportional to 191,493 and 303,079 is: 479,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,493 : 303,079 = 303,079 : x
  2. Step 2: Convert to fraction form
    191,493/303,079 = 303,079/x
  3. Step 3: Cross multiply
    191,493x = 303,079 × 303,079
  4. Step 4: Simplify right side
    191,493x = 91,856,880,241
  5. Step 5: Solve for x
    x = 91,856,880,241/191,493
  6. Step 6: Final answer
    x = 479,687.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.