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Finding the Third Proportional to 168,357 and 374,083.50

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Solution

The third proportional to 168,357 and 374,083.50 is: 831,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,357 : 374,083.50 = 374,083.50 : x
  2. Step 2: Convert to fraction form
    168,357/374,083.50 = 374,083.50/x
  3. Step 3: Cross multiply
    168,357x = 374,083.50 × 374,083.50
  4. Step 4: Simplify right side
    168,357x = 139,938,464,972.25
  5. Step 5: Solve for x
    x = 139,938,464,972.25/168,357
  6. Step 6: Final answer
    x = 831,200.75

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