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Finding the Third Proportional to 225,924.75 and 349,825.50

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Solution

The third proportional to 225,924.75 and 349,825.50 is: 541,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,924.75 : 349,825.50 = 349,825.50 : x
  2. Step 2: Convert to fraction form
    225,924.75/349,825.50 = 349,825.50/x
  3. Step 3: Cross multiply
    225,924.75x = 349,825.50 × 349,825.50
  4. Step 4: Simplify right side
    225,924.75x = 122,377,880,450.25
  5. Step 5: Solve for x
    x = 122,377,880,450.25/225,924.75
  6. Step 6: Final answer
    x = 541,675.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.