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Finding the Third Proportional to 237,188.25 and 379,361.25

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Solution

The third proportional to 237,188.25 and 379,361.25 is: 606,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,188.25 : 379,361.25 = 379,361.25 : x
  2. Step 2: Convert to fraction form
    237,188.25/379,361.25 = 379,361.25/x
  3. Step 3: Cross multiply
    237,188.25x = 379,361.25 × 379,361.25
  4. Step 4: Simplify right side
    237,188.25x = 143,914,958,001.56
  5. Step 5: Solve for x
    x = 143,914,958,001.56/237,188.25
  6. Step 6: Final answer
    x = 606,754.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.