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Finding the Third Proportional to 231,057 and 343,197

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Solution

The third proportional to 231,057 and 343,197 is: 509,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,057 : 343,197 = 343,197 : x
  2. Step 2: Convert to fraction form
    231,057/343,197 = 343,197/x
  3. Step 3: Cross multiply
    231,057x = 343,197 × 343,197
  4. Step 4: Simplify right side
    231,057x = 117,784,180,809
  5. Step 5: Solve for x
    x = 117,784,180,809/231,057
  6. Step 6: Final answer
    x = 509,762.44

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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.