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Finding the Third Proportional to 191,208 and 303,686

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Solution

The third proportional to 191,208 and 303,686 is: 482,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,208 : 303,686 = 303,686 : x
  2. Step 2: Convert to fraction form
    191,208/303,686 = 303,686/x
  3. Step 3: Cross multiply
    191,208x = 303,686 × 303,686
  4. Step 4: Simplify right side
    191,208x = 92,225,186,596
  5. Step 5: Solve for x
    x = 92,225,186,596/191,208
  6. Step 6: Final answer
    x = 482,329.12

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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.