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Finding the Third Proportional to 225,050 and 335,144

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Solution

The third proportional to 225,050 and 335,144 is: 499,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,050 : 335,144 = 335,144 : x
  2. Step 2: Convert to fraction form
    225,050/335,144 = 335,144/x
  3. Step 3: Cross multiply
    225,050x = 335,144 × 335,144
  4. Step 4: Simplify right side
    225,050x = 112,321,500,736
  5. Step 5: Solve for x
    x = 112,321,500,736/225,050
  6. Step 6: Final answer
    x = 499,095.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.