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Finding the Third Proportional to 191,819 and 300,900

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Solution

The third proportional to 191,819 and 300,900 is: 472,011.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,819 : 300,900 = 300,900 : x
  2. Step 2: Convert to fraction form
    191,819/300,900 = 300,900/x
  3. Step 3: Cross multiply
    191,819x = 300,900 × 300,900
  4. Step 4: Simplify right side
    191,819x = 90,540,810,000
  5. Step 5: Solve for x
    x = 90,540,810,000/191,819
  6. Step 6: Final answer
    x = 472,011.69

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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.