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Finding the Third Proportional to 224,208 and 336,582

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Solution

The third proportional to 224,208 and 336,582 is: 505,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,208 : 336,582 = 336,582 : x
  2. Step 2: Convert to fraction form
    224,208/336,582 = 336,582/x
  3. Step 3: Cross multiply
    224,208x = 336,582 × 336,582
  4. Step 4: Simplify right side
    224,208x = 113,287,442,724
  5. Step 5: Solve for x
    x = 113,287,442,724/224,208
  6. Step 6: Final answer
    x = 505,278.33

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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.