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Finding the Third Proportional to 168,348 and 374,065

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Solution

The third proportional to 168,348 and 374,065 is: 831,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,348 : 374,065 = 374,065 : x
  2. Step 2: Convert to fraction form
    168,348/374,065 = 374,065/x
  3. Step 3: Cross multiply
    168,348x = 374,065 × 374,065
  4. Step 4: Simplify right side
    168,348x = 139,924,624,225
  5. Step 5: Solve for x
    x = 139,924,624,225/168,348
  6. Step 6: Final answer
    x = 831,162.97

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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.