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Finding the Third Proportional to 232,082 and 313,132

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Solution

The third proportional to 232,082 and 313,132 is: 422,487.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,082 : 313,132 = 313,132 : x
  2. Step 2: Convert to fraction form
    232,082/313,132 = 313,132/x
  3. Step 3: Cross multiply
    232,082x = 313,132 × 313,132
  4. Step 4: Simplify right side
    232,082x = 98,051,649,424
  5. Step 5: Solve for x
    x = 98,051,649,424/232,082
  6. Step 6: Final answer
    x = 422,487.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.