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Finding the Third Proportional to 190,625 and 412,632

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Solution

The third proportional to 190,625 and 412,632 is: 893,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,625 : 412,632 = 412,632 : x
  2. Step 2: Convert to fraction form
    190,625/412,632 = 412,632/x
  3. Step 3: Cross multiply
    190,625x = 412,632 × 412,632
  4. Step 4: Simplify right side
    190,625x = 170,265,167,424
  5. Step 5: Solve for x
    x = 170,265,167,424/190,625
  6. Step 6: Final answer
    x = 893,194.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.