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Finding the Third Proportional to 181,765.03 and 388,269.66

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Solution

The third proportional to 181,765.03 and 388,269.66 is: 829,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,765.03 : 388,269.66 = 388,269.66 : x
  2. Step 2: Convert to fraction form
    181,765.03/388,269.66 = 388,269.66/x
  3. Step 3: Cross multiply
    181,765.03x = 388,269.66 × 388,269.66
  4. Step 4: Simplify right side
    181,765.03x = 150,753,325,964.49
  5. Step 5: Solve for x
    x = 150,753,325,964.49/181,765.03
  6. Step 6: Final answer
    x = 829,385.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.