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Finding the Third Proportional to 234,045 and 332,845

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Solution

The third proportional to 234,045 and 332,845 is: 473,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,045 : 332,845 = 332,845 : x
  2. Step 2: Convert to fraction form
    234,045/332,845 = 332,845/x
  3. Step 3: Cross multiply
    234,045x = 332,845 × 332,845
  4. Step 4: Simplify right side
    234,045x = 110,785,794,025
  5. Step 5: Solve for x
    x = 110,785,794,025/234,045
  6. Step 6: Final answer
    x = 473,352.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.