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Finding the Third Proportional to 227,008 and 343,668

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Solution

The third proportional to 227,008 and 343,668 is: 520,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,008 : 343,668 = 343,668 : x
  2. Step 2: Convert to fraction form
    227,008/343,668 = 343,668/x
  3. Step 3: Cross multiply
    227,008x = 343,668 × 343,668
  4. Step 4: Simplify right side
    227,008x = 118,107,694,224
  5. Step 5: Solve for x
    x = 118,107,694,224/227,008
  6. Step 6: Final answer
    x = 520,279.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.