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Finding the Third Proportional to 182,682.84 and 398,478.23

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Solution

The third proportional to 182,682.84 and 398,478.23 is: 869,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,682.84 : 398,478.23 = 398,478.23 : x
  2. Step 2: Convert to fraction form
    182,682.84/398,478.23 = 398,478.23/x
  3. Step 3: Cross multiply
    182,682.84x = 398,478.23 × 398,478.23
  4. Step 4: Simplify right side
    182,682.84x = 158,784,903,270.62
  5. Step 5: Solve for x
    x = 158,784,903,270.62/182,682.84
  6. Step 6: Final answer
    x = 869,183.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.