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Finding the Third Proportional to 212,107.75 and 296,697

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Solution

The third proportional to 212,107.75 and 296,697 is: 415,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,107.75 : 296,697 = 296,697 : x
  2. Step 2: Convert to fraction form
    212,107.75/296,697 = 296,697/x
  3. Step 3: Cross multiply
    212,107.75x = 296,697 × 296,697
  4. Step 4: Simplify right side
    212,107.75x = 88,029,109,809
  5. Step 5: Solve for x
    x = 88,029,109,809/212,107.75
  6. Step 6: Final answer
    x = 415,020.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.