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Finding the Third Proportional to 146,090.25 and 303,864.75

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Solution

The third proportional to 146,090.25 and 303,864.75 is: 632,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,090.25 : 303,864.75 = 303,864.75 : x
  2. Step 2: Convert to fraction form
    146,090.25/303,864.75 = 303,864.75/x
  3. Step 3: Cross multiply
    146,090.25x = 303,864.75 × 303,864.75
  4. Step 4: Simplify right side
    146,090.25x = 92,333,786,292.56
  5. Step 5: Solve for x
    x = 92,333,786,292.56/146,090.25
  6. Step 6: Final answer
    x = 632,032.50

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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.