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Finding the Third Proportional to 191,928 and 300,408

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Solution

The third proportional to 191,928 and 300,408 is: 470,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,928 : 300,408 = 300,408 : x
  2. Step 2: Convert to fraction form
    191,928/300,408 = 300,408/x
  3. Step 3: Cross multiply
    191,928x = 300,408 × 300,408
  4. Step 4: Simplify right side
    191,928x = 90,244,966,464
  5. Step 5: Solve for x
    x = 90,244,966,464/191,928
  6. Step 6: Final answer
    x = 470,202.19

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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.