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Finding the Third Proportional to 225,880 and 301,132

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Solution

The third proportional to 225,880 and 301,132 is: 401,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,880 : 301,132 = 301,132 : x
  2. Step 2: Convert to fraction form
    225,880/301,132 = 301,132/x
  3. Step 3: Cross multiply
    225,880x = 301,132 × 301,132
  4. Step 4: Simplify right side
    225,880x = 90,680,481,424
  5. Step 5: Solve for x
    x = 90,680,481,424/225,880
  6. Step 6: Final answer
    x = 401,454.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.