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Finding the Third Proportional to 212,901 and 296,019

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Solution

The third proportional to 212,901 and 296,019 is: 411,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,901 : 296,019 = 296,019 : x
  2. Step 2: Convert to fraction form
    212,901/296,019 = 296,019/x
  3. Step 3: Cross multiply
    212,901x = 296,019 × 296,019
  4. Step 4: Simplify right side
    212,901x = 87,627,248,361
  5. Step 5: Solve for x
    x = 87,627,248,361/212,901
  6. Step 6: Final answer
    x = 411,586.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.