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Finding the Third Proportional to 224,360 and 333,018

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Solution

The third proportional to 224,360 and 333,018 is: 494,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,360 : 333,018 = 333,018 : x
  2. Step 2: Convert to fraction form
    224,360/333,018 = 333,018/x
  3. Step 3: Cross multiply
    224,360x = 333,018 × 333,018
  4. Step 4: Simplify right side
    224,360x = 110,900,988,324
  5. Step 5: Solve for x
    x = 110,900,988,324/224,360
  6. Step 6: Final answer
    x = 494,299.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.