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Finding the Third Proportional to 168,550 and 364,093

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Solution

The third proportional to 168,550 and 364,093 is: 786,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,550 : 364,093 = 364,093 : x
  2. Step 2: Convert to fraction form
    168,550/364,093 = 364,093/x
  3. Step 3: Cross multiply
    168,550x = 364,093 × 364,093
  4. Step 4: Simplify right side
    168,550x = 132,563,712,649
  5. Step 5: Solve for x
    x = 132,563,712,649/168,550
  6. Step 6: Final answer
    x = 786,494.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.