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Finding the Third Proportional to 232,096 and 313,152

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Solution

The third proportional to 232,096 and 313,152 is: 422,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,096 : 313,152 = 313,152 : x
  2. Step 2: Convert to fraction form
    232,096/313,152 = 313,152/x
  3. Step 3: Cross multiply
    232,096x = 313,152 × 313,152
  4. Step 4: Simplify right side
    232,096x = 98,064,175,104
  5. Step 5: Solve for x
    x = 98,064,175,104/232,096
  6. Step 6: Final answer
    x = 422,515.58

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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.