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Finding the Third Proportional to 212,876 and 295,984

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Solution

The third proportional to 212,876 and 295,984 is: 411,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,876 : 295,984 = 295,984 : x
  2. Step 2: Convert to fraction form
    212,876/295,984 = 295,984/x
  3. Step 3: Cross multiply
    212,876x = 295,984 × 295,984
  4. Step 4: Simplify right side
    212,876x = 87,606,528,256
  5. Step 5: Solve for x
    x = 87,606,528,256/212,876
  6. Step 6: Final answer
    x = 411,537.84

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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.