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Finding the Third Proportional to 168,301.13 and 280,486.13

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Solution

The third proportional to 168,301.13 and 280,486.13 is: 467,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,301.13 : 280,486.13 = 280,486.13 : x
  2. Step 2: Convert to fraction form
    168,301.13/280,486.13 = 280,486.13/x
  3. Step 3: Cross multiply
    168,301.13x = 280,486.13 × 280,486.13
  4. Step 4: Simplify right side
    168,301.13x = 78,672,466,317.52
  5. Step 5: Solve for x
    x = 78,672,466,317.52/168,301.13
  6. Step 6: Final answer
    x = 467,450.63

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.