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Finding the Third Proportional to 168,063 and 354,486

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Solution

The third proportional to 168,063 and 354,486 is: 747,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,063 : 354,486 = 354,486 : x
  2. Step 2: Convert to fraction form
    168,063/354,486 = 354,486/x
  3. Step 3: Cross multiply
    168,063x = 354,486 × 354,486
  4. Step 4: Simplify right side
    168,063x = 125,660,324,196
  5. Step 5: Solve for x
    x = 125,660,324,196/168,063
  6. Step 6: Final answer
    x = 747,697.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.