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Finding the Third Proportional to 224,219 and 333,136

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Solution

The third proportional to 224,219 and 333,136 is: 494,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,219 : 333,136 = 333,136 : x
  2. Step 2: Convert to fraction form
    224,219/333,136 = 333,136/x
  3. Step 3: Cross multiply
    224,219x = 333,136 × 333,136
  4. Step 4: Simplify right side
    224,219x = 110,979,594,496
  5. Step 5: Solve for x
    x = 110,979,594,496/224,219
  6. Step 6: Final answer
    x = 494,960.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.