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Finding the Third Proportional to 225,100 and 343,367

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Solution

The third proportional to 225,100 and 343,367 is: 523,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,100 : 343,367 = 343,367 : x
  2. Step 2: Convert to fraction form
    225,100/343,367 = 343,367/x
  3. Step 3: Cross multiply
    225,100x = 343,367 × 343,367
  4. Step 4: Simplify right side
    225,100x = 117,900,896,689
  5. Step 5: Solve for x
    x = 117,900,896,689/225,100
  6. Step 6: Final answer
    x = 523,771.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.