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Finding the Third Proportional to 231,059 and 343,200

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Solution

The third proportional to 231,059 and 343,200 is: 509,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,059 : 343,200 = 343,200 : x
  2. Step 2: Convert to fraction form
    231,059/343,200 = 343,200/x
  3. Step 3: Cross multiply
    231,059x = 343,200 × 343,200
  4. Step 4: Simplify right side
    231,059x = 117,786,240,000
  5. Step 5: Solve for x
    x = 117,786,240,000/231,059
  6. Step 6: Final answer
    x = 509,766.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.