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Finding the Third Proportional to 172,064.25 and 378,168.75

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Solution

The third proportional to 172,064.25 and 378,168.75 is: 831,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,064.25 : 378,168.75 = 378,168.75 : x
  2. Step 2: Convert to fraction form
    172,064.25/378,168.75 = 378,168.75/x
  3. Step 3: Cross multiply
    172,064.25x = 378,168.75 × 378,168.75
  4. Step 4: Simplify right side
    172,064.25x = 143,011,603,476.56
  5. Step 5: Solve for x
    x = 143,011,603,476.56/172,064.25
  6. Step 6: Final answer
    x = 831,152.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.