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Finding the Third Proportional to 174,712.50 and 374,325

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Solution

The third proportional to 174,712.50 and 374,325 is: 801,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,712.50 : 374,325 = 374,325 : x
  2. Step 2: Convert to fraction form
    174,712.50/374,325 = 374,325/x
  3. Step 3: Cross multiply
    174,712.50x = 374,325 × 374,325
  4. Step 4: Simplify right side
    174,712.50x = 140,119,205,625
  5. Step 5: Solve for x
    x = 140,119,205,625/174,712.50
  6. Step 6: Final answer
    x = 801,998.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.