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Finding the Third Proportional to 224,736 and 336,468

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Solution

The third proportional to 224,736 and 336,468 is: 503,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,736 : 336,468 = 336,468 : x
  2. Step 2: Convert to fraction form
    224,736/336,468 = 336,468/x
  3. Step 3: Cross multiply
    224,736x = 336,468 × 336,468
  4. Step 4: Simplify right side
    224,736x = 113,210,715,024
  5. Step 5: Solve for x
    x = 113,210,715,024/224,736
  6. Step 6: Final answer
    x = 503,749.80

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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.