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Finding the Third Proportional to 181,094.80 and 393,326.82

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Solution

The third proportional to 181,094.80 and 393,326.82 is: 854,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,094.80 : 393,326.82 = 393,326.82 : x
  2. Step 2: Convert to fraction form
    181,094.80/393,326.82 = 393,326.82/x
  3. Step 3: Cross multiply
    181,094.80x = 393,326.82 × 393,326.82
  4. Step 4: Simplify right side
    181,094.80x = 154,705,990,650.02
  5. Step 5: Solve for x
    x = 154,705,990,650.02/181,094.80
  6. Step 6: Final answer
    x = 854,281.79

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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.