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Finding the Third Proportional to 168,358.50 and 374,084

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Solution

The third proportional to 168,358.50 and 374,084 is: 831,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,358.50 : 374,084 = 374,084 : x
  2. Step 2: Convert to fraction form
    168,358.50/374,084 = 374,084/x
  3. Step 3: Cross multiply
    168,358.50x = 374,084 × 374,084
  4. Step 4: Simplify right side
    168,358.50x = 139,938,839,056
  5. Step 5: Solve for x
    x = 139,938,839,056/168,358.50
  6. Step 6: Final answer
    x = 831,195.57

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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.