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Finding the Third Proportional to 168,355 and 374,078

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Solution

The third proportional to 168,355 and 374,078 is: 831,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,355 : 374,078 = 374,078 : x
  2. Step 2: Convert to fraction form
    168,355/374,078 = 374,078/x
  3. Step 3: Cross multiply
    168,355x = 374,078 × 374,078
  4. Step 4: Simplify right side
    168,355x = 139,934,350,084
  5. Step 5: Solve for x
    x = 139,934,350,084/168,355
  6. Step 6: Final answer
    x = 831,186.18

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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.