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Finding the Third Proportional to 181,375.77 and 393,813.77

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Solution

The third proportional to 181,375.77 and 393,813.77 is: 855,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,375.77 : 393,813.77 = 393,813.77 : x
  2. Step 2: Convert to fraction form
    181,375.77/393,813.77 = 393,813.77/x
  3. Step 3: Cross multiply
    181,375.77x = 393,813.77 × 393,813.77
  4. Step 4: Simplify right side
    181,375.77x = 155,089,288,149.08
  5. Step 5: Solve for x
    x = 155,089,288,149.08/181,375.77
  6. Step 6: Final answer
    x = 855,071.70

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Why These Related Problems?

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