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Finding the Third Proportional to 224,212 and 336,574

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Solution

The third proportional to 224,212 and 336,574 is: 505,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,212 : 336,574 = 336,574 : x
  2. Step 2: Convert to fraction form
    224,212/336,574 = 336,574/x
  3. Step 3: Cross multiply
    224,212x = 336,574 × 336,574
  4. Step 4: Simplify right side
    224,212x = 113,282,057,476
  5. Step 5: Solve for x
    x = 113,282,057,476/224,212
  6. Step 6: Final answer
    x = 505,245.29

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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.