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Finding the Third Proportional to 191,866 and 300,322

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Solution

The third proportional to 191,866 and 300,322 is: 470,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,866 : 300,322 = 300,322 : x
  2. Step 2: Convert to fraction form
    191,866/300,322 = 300,322/x
  3. Step 3: Cross multiply
    191,866x = 300,322 × 300,322
  4. Step 4: Simplify right side
    191,866x = 90,193,303,684
  5. Step 5: Solve for x
    x = 90,193,303,684/191,866
  6. Step 6: Final answer
    x = 470,084.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.