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Finding the Third Proportional to 231,648 and 367,100

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Solution

The third proportional to 231,648 and 367,100 is: 581,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,648 : 367,100 = 367,100 : x
  2. Step 2: Convert to fraction form
    231,648/367,100 = 367,100/x
  3. Step 3: Cross multiply
    231,648x = 367,100 × 367,100
  4. Step 4: Simplify right side
    231,648x = 134,762,410,000
  5. Step 5: Solve for x
    x = 134,762,410,000/231,648
  6. Step 6: Final answer
    x = 581,755.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.