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Finding the Third Proportional to 224,595 and 336,546

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Solution

The third proportional to 224,595 and 336,546 is: 504,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,595 : 336,546 = 336,546 : x
  2. Step 2: Convert to fraction form
    224,595/336,546 = 336,546/x
  3. Step 3: Cross multiply
    224,595x = 336,546 × 336,546
  4. Step 4: Simplify right side
    224,595x = 113,263,210,116
  5. Step 5: Solve for x
    x = 113,263,210,116/224,595
  6. Step 6: Final answer
    x = 504,299.78

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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.