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Finding the Third Proportional to 191,898 and 300,351

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Solution

The third proportional to 191,898 and 300,351 is: 470,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,898 : 300,351 = 300,351 : x
  2. Step 2: Convert to fraction form
    191,898/300,351 = 300,351/x
  3. Step 3: Cross multiply
    191,898x = 300,351 × 300,351
  4. Step 4: Simplify right side
    191,898x = 90,210,723,201
  5. Step 5: Solve for x
    x = 90,210,723,201/191,898
  6. Step 6: Final answer
    x = 470,097.26

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Why These Related Problems?

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