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Finding the Third Proportional to 146,241.75 and 303,966

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Solution

The third proportional to 146,241.75 and 303,966 is: 631,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,241.75 : 303,966 = 303,966 : x
  2. Step 2: Convert to fraction form
    146,241.75/303,966 = 303,966/x
  3. Step 3: Cross multiply
    146,241.75x = 303,966 × 303,966
  4. Step 4: Simplify right side
    146,241.75x = 92,395,329,156
  5. Step 5: Solve for x
    x = 92,395,329,156/146,241.75
  6. Step 6: Final answer
    x = 631,798.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.