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Finding the Third Proportional to 194,172.75 and 401,825.25

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Solution

The third proportional to 194,172.75 and 401,825.25 is: 831,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,172.75 : 401,825.25 = 401,825.25 : x
  2. Step 2: Convert to fraction form
    194,172.75/401,825.25 = 401,825.25/x
  3. Step 3: Cross multiply
    194,172.75x = 401,825.25 × 401,825.25
  4. Step 4: Simplify right side
    194,172.75x = 161,463,531,537.56
  5. Step 5: Solve for x
    x = 161,463,531,537.56/194,172.75
  6. Step 6: Final answer
    x = 831,545.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.