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Finding the Third Proportional to 146,207.25 and 303,903

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Solution

The third proportional to 146,207.25 and 303,903 is: 631,685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,207.25 : 303,903 = 303,903 : x
  2. Step 2: Convert to fraction form
    146,207.25/303,903 = 303,903/x
  3. Step 3: Cross multiply
    146,207.25x = 303,903 × 303,903
  4. Step 4: Simplify right side
    146,207.25x = 92,357,033,409
  5. Step 5: Solve for x
    x = 92,357,033,409/146,207.25
  6. Step 6: Final answer
    x = 631,685.73

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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.