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Finding the Third Proportional to 226,818.75 and 335,056.50

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Solution

The third proportional to 226,818.75 and 335,056.50 is: 494,945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,818.75 : 335,056.50 = 335,056.50 : x
  2. Step 2: Convert to fraction form
    226,818.75/335,056.50 = 335,056.50/x
  3. Step 3: Cross multiply
    226,818.75x = 335,056.50 × 335,056.50
  4. Step 4: Simplify right side
    226,818.75x = 112,262,858,192.25
  5. Step 5: Solve for x
    x = 112,262,858,192.25/226,818.75
  6. Step 6: Final answer
    x = 494,945.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.