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Finding the Third Proportional to 152,983.69 and 332,245.55

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Solution

The third proportional to 152,983.69 and 332,245.55 is: 721,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,983.69 : 332,245.55 = 332,245.55 : x
  2. Step 2: Convert to fraction form
    152,983.69/332,245.55 = 332,245.55/x
  3. Step 3: Cross multiply
    152,983.69x = 332,245.55 × 332,245.55
  4. Step 4: Simplify right side
    152,983.69x = 110,387,103,418.27
  5. Step 5: Solve for x
    x = 110,387,103,418.27/152,983.69
  6. Step 6: Final answer
    x = 721,561.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.