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Finding the Third Proportional to 225,230.63 and 303,370.31

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Solution

The third proportional to 225,230.63 and 303,370.31 is: 408,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,230.63 : 303,370.31 = 303,370.31 : x
  2. Step 2: Convert to fraction form
    225,230.63/303,370.31 = 303,370.31/x
  3. Step 3: Cross multiply
    225,230.63x = 303,370.31 × 303,370.31
  4. Step 4: Simplify right side
    225,230.63x = 92,033,546,506.35
  5. Step 5: Solve for x
    x = 92,033,546,506.35/225,230.63
  6. Step 6: Final answer
    x = 408,619.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.