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Finding the Third Proportional to 106,211.25 and 217,323

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Solution

The third proportional to 106,211.25 and 217,323 is: 444,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,211.25 : 217,323 = 217,323 : x
  2. Step 2: Convert to fraction form
    106,211.25/217,323 = 217,323/x
  3. Step 3: Cross multiply
    106,211.25x = 217,323 × 217,323
  4. Step 4: Simplify right side
    106,211.25x = 47,229,286,329
  5. Step 5: Solve for x
    x = 47,229,286,329/106,211.25
  6. Step 6: Final answer
    x = 444,673.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.