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Finding the Third Proportional to 152,672 and 332,992

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Solution

The third proportional to 152,672 and 332,992 is: 726,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,672 : 332,992 = 332,992 : x
  2. Step 2: Convert to fraction form
    152,672/332,992 = 332,992/x
  3. Step 3: Cross multiply
    152,672x = 332,992 × 332,992
  4. Step 4: Simplify right side
    152,672x = 110,883,672,064
  5. Step 5: Solve for x
    x = 110,883,672,064/152,672
  6. Step 6: Final answer
    x = 726,286.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.