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Finding the Third Proportional to 168,384.38 and 374,136.75

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Solution

The third proportional to 168,384.38 and 374,136.75 is: 831,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,384.38 : 374,136.75 = 374,136.75 : x
  2. Step 2: Convert to fraction form
    168,384.38/374,136.75 = 374,136.75/x
  3. Step 3: Cross multiply
    168,384.38x = 374,136.75 × 374,136.75
  4. Step 4: Simplify right side
    168,384.38x = 139,978,307,700.56
  5. Step 5: Solve for x
    x = 139,978,307,700.56/168,384.38
  6. Step 6: Final answer
    x = 831,302.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.