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Finding the Third Proportional to 191,192 and 303,662

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Solution

The third proportional to 191,192 and 303,662 is: 482,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,192 : 303,662 = 303,662 : x
  2. Step 2: Convert to fraction form
    191,192/303,662 = 303,662/x
  3. Step 3: Cross multiply
    191,192x = 303,662 × 303,662
  4. Step 4: Simplify right side
    191,192x = 92,210,610,244
  5. Step 5: Solve for x
    x = 92,210,610,244/191,192
  6. Step 6: Final answer
    x = 482,293.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.