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Finding the Third Proportional to 168,490.13 and 283,353.19

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Solution

The third proportional to 168,490.13 and 283,353.19 is: 476,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,490.13 : 283,353.19 = 283,353.19 : x
  2. Step 2: Convert to fraction form
    168,490.13/283,353.19 = 283,353.19/x
  3. Step 3: Cross multiply
    168,490.13x = 283,353.19 × 283,353.19
  4. Step 4: Simplify right side
    168,490.13x = 80,289,028,866.41
  5. Step 5: Solve for x
    x = 80,289,028,866.41/168,490.13
  6. Step 6: Final answer
    x = 476,520.68

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.