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Finding the Third Proportional to 168,350.50 and 363,407

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Solution

The third proportional to 168,350.50 and 363,407 is: 784,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,350.50 : 363,407 = 363,407 : x
  2. Step 2: Convert to fraction form
    168,350.50/363,407 = 363,407/x
  3. Step 3: Cross multiply
    168,350.50x = 363,407 × 363,407
  4. Step 4: Simplify right side
    168,350.50x = 132,064,647,649
  5. Step 5: Solve for x
    x = 132,064,647,649/168,350.50
  6. Step 6: Final answer
    x = 784,462.46

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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.