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Finding the Third Proportional to 180,471.50 and 393,019

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Solution

The third proportional to 180,471.50 and 393,019 is: 855,891.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,471.50 : 393,019 = 393,019 : x
  2. Step 2: Convert to fraction form
    180,471.50/393,019 = 393,019/x
  3. Step 3: Cross multiply
    180,471.50x = 393,019 × 393,019
  4. Step 4: Simplify right side
    180,471.50x = 154,463,934,361
  5. Step 5: Solve for x
    x = 154,463,934,361/180,471.50
  6. Step 6: Final answer
    x = 855,891.01

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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.