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Finding the Third Proportional to 191,949 and 300,426

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Solution

The third proportional to 191,949 and 300,426 is: 470,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,949 : 300,426 = 300,426 : x
  2. Step 2: Convert to fraction form
    191,949/300,426 = 300,426/x
  3. Step 3: Cross multiply
    191,949x = 300,426 × 300,426
  4. Step 4: Simplify right side
    191,949x = 90,255,781,476
  5. Step 5: Solve for x
    x = 90,255,781,476/191,949
  6. Step 6: Final answer
    x = 470,207.09

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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.