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Finding the Third Proportional to 224,214 and 336,577

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Solution

The third proportional to 224,214 and 336,577 is: 505,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,214 : 336,577 = 336,577 : x
  2. Step 2: Convert to fraction form
    224,214/336,577 = 336,577/x
  3. Step 3: Cross multiply
    224,214x = 336,577 × 336,577
  4. Step 4: Simplify right side
    224,214x = 113,284,076,929
  5. Step 5: Solve for x
    x = 113,284,076,929/224,214
  6. Step 6: Final answer
    x = 505,249.79

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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.