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Finding the Third Proportional to 225,433.13 and 315,181.13

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Solution

The third proportional to 225,433.13 and 315,181.13 is: 440,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,433.13 : 315,181.13 = 315,181.13 : x
  2. Step 2: Convert to fraction form
    225,433.13/315,181.13 = 315,181.13/x
  3. Step 3: Cross multiply
    225,433.13x = 315,181.13 × 315,181.13
  4. Step 4: Simplify right side
    225,433.13x = 99,339,141,556.27
  5. Step 5: Solve for x
    x = 99,339,141,556.27/225,433.13
  6. Step 6: Final answer
    x = 440,659.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.