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Finding the Third Proportional to 181,993.50 and 393,579

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Solution

The third proportional to 181,993.50 and 393,579 is: 851,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,993.50 : 393,579 = 393,579 : x
  2. Step 2: Convert to fraction form
    181,993.50/393,579 = 393,579/x
  3. Step 3: Cross multiply
    181,993.50x = 393,579 × 393,579
  4. Step 4: Simplify right side
    181,993.50x = 154,904,429,241
  5. Step 5: Solve for x
    x = 154,904,429,241/181,993.50
  6. Step 6: Final answer
    x = 851,153.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.