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Finding the Third Proportional to 168,356 and 374,082

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Solution

The third proportional to 168,356 and 374,082 is: 831,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,356 : 374,082 = 374,082 : x
  2. Step 2: Convert to fraction form
    168,356/374,082 = 374,082/x
  3. Step 3: Cross multiply
    168,356x = 374,082 × 374,082
  4. Step 4: Simplify right side
    168,356x = 139,937,342,724
  5. Step 5: Solve for x
    x = 139,937,342,724/168,356
  6. Step 6: Final answer
    x = 831,199.02

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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.