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Finding the Third Proportional to 181,102.08 and 393,344.86

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Solution

The third proportional to 181,102.08 and 393,344.86 is: 854,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,102.08 : 393,344.86 = 393,344.86 : x
  2. Step 2: Convert to fraction form
    181,102.08/393,344.86 = 393,344.86/x
  3. Step 3: Cross multiply
    181,102.08x = 393,344.86 × 393,344.86
  4. Step 4: Simplify right side
    181,102.08x = 154,720,178,396.74
  5. Step 5: Solve for x
    x = 154,720,178,396.74/181,102.08
  6. Step 6: Final answer
    x = 854,325.80

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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.