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Finding the Third Proportional to 231,134 and 345,768

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Solution

The third proportional to 231,134 and 345,768 is: 517,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,134 : 345,768 = 345,768 : x
  2. Step 2: Convert to fraction form
    231,134/345,768 = 345,768/x
  3. Step 3: Cross multiply
    231,134x = 345,768 × 345,768
  4. Step 4: Simplify right side
    231,134x = 119,555,509,824
  5. Step 5: Solve for x
    x = 119,555,509,824/231,134
  6. Step 6: Final answer
    x = 517,256.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.