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Finding the Third Proportional to 232,102 and 313,161

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Solution

The third proportional to 232,102 and 313,161 is: 422,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,102 : 313,161 = 313,161 : x
  2. Step 2: Convert to fraction form
    232,102/313,161 = 313,161/x
  3. Step 3: Cross multiply
    232,102x = 313,161 × 313,161
  4. Step 4: Simplify right side
    232,102x = 98,069,811,921
  5. Step 5: Solve for x
    x = 98,069,811,921/232,102
  6. Step 6: Final answer
    x = 422,528.94

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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.