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Finding the Third Proportional to 224,240 and 333,163

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Solution

The third proportional to 224,240 and 333,163 is: 494,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,240 : 333,163 = 333,163 : x
  2. Step 2: Convert to fraction form
    224,240/333,163 = 333,163/x
  3. Step 3: Cross multiply
    224,240x = 333,163 × 333,163
  4. Step 4: Simplify right side
    224,240x = 110,997,584,569
  5. Step 5: Solve for x
    x = 110,997,584,569/224,240
  6. Step 6: Final answer
    x = 494,994.58

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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.