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Finding the Third Proportional to 168,153 and 280,254.75

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Solution

The third proportional to 168,153 and 280,254.75 is: 467,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,153 : 280,254.75 = 280,254.75 : x
  2. Step 2: Convert to fraction form
    168,153/280,254.75 = 280,254.75/x
  3. Step 3: Cross multiply
    168,153x = 280,254.75 × 280,254.75
  4. Step 4: Simplify right side
    168,153x = 78,542,724,897.56
  5. Step 5: Solve for x
    x = 78,542,724,897.56/168,153
  6. Step 6: Final answer
    x = 467,090.83

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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.