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Finding the Third Proportional to 106,274.25 and 224,544.94

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Solution

The third proportional to 106,274.25 and 224,544.94 is: 474,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,274.25 : 224,544.94 = 224,544.94 : x
  2. Step 2: Convert to fraction form
    106,274.25/224,544.94 = 224,544.94/x
  3. Step 3: Cross multiply
    106,274.25x = 224,544.94 × 224,544.94
  4. Step 4: Simplify right side
    106,274.25x = 50,420,428,956.88
  5. Step 5: Solve for x
    x = 50,420,428,956.88/106,274.25
  6. Step 6: Final answer
    x = 474,436.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.