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Finding the Third Proportional to 154,200 and 225,444

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Solution

The third proportional to 154,200 and 225,444 is: 329,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,200 : 225,444 = 225,444 : x
  2. Step 2: Convert to fraction form
    154,200/225,444 = 225,444/x
  3. Step 3: Cross multiply
    154,200x = 225,444 × 225,444
  4. Step 4: Simplify right side
    154,200x = 50,824,997,136
  5. Step 5: Solve for x
    x = 50,824,997,136/154,200
  6. Step 6: Final answer
    x = 329,604.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.