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Finding the Third Proportional to 152,689.50 and 327,951

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Solution

The third proportional to 152,689.50 and 327,951 is: 704,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,689.50 : 327,951 = 327,951 : x
  2. Step 2: Convert to fraction form
    152,689.50/327,951 = 327,951/x
  3. Step 3: Cross multiply
    152,689.50x = 327,951 × 327,951
  4. Step 4: Simplify right side
    152,689.50x = 107,551,858,401
  5. Step 5: Solve for x
    x = 107,551,858,401/152,689.50
  6. Step 6: Final answer
    x = 704,382.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.