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Finding the Third Proportional to 172,214.44 and 374,311.13

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Solution

The third proportional to 172,214.44 and 374,311.13 is: 813,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,214.44 : 374,311.13 = 374,311.13 : x
  2. Step 2: Convert to fraction form
    172,214.44/374,311.13 = 374,311.13/x
  3. Step 3: Cross multiply
    172,214.44x = 374,311.13 × 374,311.13
  4. Step 4: Simplify right side
    172,214.44x = 140,108,818,298.77
  5. Step 5: Solve for x
    x = 140,108,818,298.77/172,214.44
  6. Step 6: Final answer
    x = 813,571.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.