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Finding the Third Proportional to 225,407.25 and 337,407.75

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Solution

The third proportional to 225,407.25 and 337,407.75 is: 505,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,407.25 : 337,407.75 = 337,407.75 : x
  2. Step 2: Convert to fraction form
    225,407.25/337,407.75 = 337,407.75/x
  3. Step 3: Cross multiply
    225,407.25x = 337,407.75 × 337,407.75
  4. Step 4: Simplify right side
    225,407.25x = 113,843,989,760.06
  5. Step 5: Solve for x
    x = 113,843,989,760.06/225,407.25
  6. Step 6: Final answer
    x = 505,059.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.