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Finding the Third Proportional to 226,996 and 343,650

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Solution

The third proportional to 226,996 and 343,650 is: 520,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,996 : 343,650 = 343,650 : x
  2. Step 2: Convert to fraction form
    226,996/343,650 = 343,650/x
  3. Step 3: Cross multiply
    226,996x = 343,650 × 343,650
  4. Step 4: Simplify right side
    226,996x = 118,095,322,500
  5. Step 5: Solve for x
    x = 118,095,322,500/226,996
  6. Step 6: Final answer
    x = 520,252.88

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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.