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Finding the Third Proportional to 225,424 and 335,976

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Solution

The third proportional to 225,424 and 335,976 is: 500,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,424 : 335,976 = 335,976 : x
  2. Step 2: Convert to fraction form
    225,424/335,976 = 335,976/x
  3. Step 3: Cross multiply
    225,424x = 335,976 × 335,976
  4. Step 4: Simplify right side
    225,424x = 112,879,872,576
  5. Step 5: Solve for x
    x = 112,879,872,576/225,424
  6. Step 6: Final answer
    x = 500,744.70

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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.