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Finding the Third Proportional to 225,156.75 and 342,375

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Solution

The third proportional to 225,156.75 and 342,375 is: 520,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,156.75 : 342,375 = 342,375 : x
  2. Step 2: Convert to fraction form
    225,156.75/342,375 = 342,375/x
  3. Step 3: Cross multiply
    225,156.75x = 342,375 × 342,375
  4. Step 4: Simplify right side
    225,156.75x = 117,220,640,625
  5. Step 5: Solve for x
    x = 117,220,640,625/225,156.75
  6. Step 6: Final answer
    x = 520,617.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.