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Finding the Third Proportional to 168,354 and 374,077.50

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Solution

The third proportional to 168,354 and 374,077.50 is: 831,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,354 : 374,077.50 = 374,077.50 : x
  2. Step 2: Convert to fraction form
    168,354/374,077.50 = 374,077.50/x
  3. Step 3: Cross multiply
    168,354x = 374,077.50 × 374,077.50
  4. Step 4: Simplify right side
    168,354x = 139,933,976,006.25
  5. Step 5: Solve for x
    x = 139,933,976,006.25/168,354
  6. Step 6: Final answer
    x = 831,188.90

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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.