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Finding the Third Proportional to 87,340.50 and 191,025

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Solution

The third proportional to 87,340.50 and 191,025 is: 417,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,340.50 : 191,025 = 191,025 : x
  2. Step 2: Convert to fraction form
    87,340.50/191,025 = 191,025/x
  3. Step 3: Cross multiply
    87,340.50x = 191,025 × 191,025
  4. Step 4: Simplify right side
    87,340.50x = 36,490,550,625
  5. Step 5: Solve for x
    x = 36,490,550,625/87,340.50
  6. Step 6: Final answer
    x = 417,796.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.