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Finding the Third Proportional to 227,996 and 340,718

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Solution

The third proportional to 227,996 and 340,718 is: 509,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,996 : 340,718 = 340,718 : x
  2. Step 2: Convert to fraction form
    227,996/340,718 = 340,718/x
  3. Step 3: Cross multiply
    227,996x = 340,718 × 340,718
  4. Step 4: Simplify right side
    227,996x = 116,088,755,524
  5. Step 5: Solve for x
    x = 116,088,755,524/227,996
  6. Step 6: Final answer
    x = 509,170.14

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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.