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Finding the Third Proportional to 212,868 and 295,974

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Solution

The third proportional to 212,868 and 295,974 is: 411,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,868 : 295,974 = 295,974 : x
  2. Step 2: Convert to fraction form
    212,868/295,974 = 295,974/x
  3. Step 3: Cross multiply
    212,868x = 295,974 × 295,974
  4. Step 4: Simplify right side
    212,868x = 87,600,608,676
  5. Step 5: Solve for x
    x = 87,600,608,676/212,868
  6. Step 6: Final answer
    x = 411,525.49

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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.