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Finding the Third Proportional to 225,444 and 337,452

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Solution

The third proportional to 225,444 and 337,452 is: 505,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,444 : 337,452 = 337,452 : x
  2. Step 2: Convert to fraction form
    225,444/337,452 = 337,452/x
  3. Step 3: Cross multiply
    225,444x = 337,452 × 337,452
  4. Step 4: Simplify right side
    225,444x = 113,873,852,304
  5. Step 5: Solve for x
    x = 113,873,852,304/225,444
  6. Step 6: Final answer
    x = 505,109.26

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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.