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Finding the Third Proportional to 232,105.50 and 313,164

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Solution

The third proportional to 232,105.50 and 313,164 is: 422,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,105.50 : 313,164 = 313,164 : x
  2. Step 2: Convert to fraction form
    232,105.50/313,164 = 313,164/x
  3. Step 3: Cross multiply
    232,105.50x = 313,164 × 313,164
  4. Step 4: Simplify right side
    232,105.50x = 98,071,690,896
  5. Step 5: Solve for x
    x = 98,071,690,896/232,105.50
  6. Step 6: Final answer
    x = 422,530.66

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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.