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Finding the Third Proportional to 191,194 and 303,666

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Solution

The third proportional to 191,194 and 303,666 is: 482,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,194 : 303,666 = 303,666 : x
  2. Step 2: Convert to fraction form
    191,194/303,666 = 303,666/x
  3. Step 3: Cross multiply
    191,194x = 303,666 × 303,666
  4. Step 4: Simplify right side
    191,194x = 92,213,039,556
  5. Step 5: Solve for x
    x = 92,213,039,556/191,194
  6. Step 6: Final answer
    x = 482,300.91

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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.