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Finding the Third Proportional to 195,497.30 and 428,361.54

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Solution

The third proportional to 195,497.30 and 428,361.54 is: 938,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,497.30 : 428,361.54 = 428,361.54 : x
  2. Step 2: Convert to fraction form
    195,497.30/428,361.54 = 428,361.54/x
  3. Step 3: Cross multiply
    195,497.30x = 428,361.54 × 428,361.54
  4. Step 4: Simplify right side
    195,497.30x = 183,493,608,147.99
  5. Step 5: Solve for x
    x = 183,493,608,147.99/195,497.30
  6. Step 6: Final answer
    x = 938,599.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.