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Finding the Third Proportional to 158,593 and 332,755

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Solution

The third proportional to 158,593 and 332,755 is: 698,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,593 : 332,755 = 332,755 : x
  2. Step 2: Convert to fraction form
    158,593/332,755 = 332,755/x
  3. Step 3: Cross multiply
    158,593x = 332,755 × 332,755
  4. Step 4: Simplify right side
    158,593x = 110,725,890,025
  5. Step 5: Solve for x
    x = 110,725,890,025/158,593
  6. Step 6: Final answer
    x = 698,176.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.