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Finding the Third Proportional to 154,861 and 342,885

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Solution

The third proportional to 154,861 and 342,885 is: 759,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,861 : 342,885 = 342,885 : x
  2. Step 2: Convert to fraction form
    154,861/342,885 = 342,885/x
  3. Step 3: Cross multiply
    154,861x = 342,885 × 342,885
  4. Step 4: Simplify right side
    154,861x = 117,570,123,225
  5. Step 5: Solve for x
    x = 117,570,123,225/154,861
  6. Step 6: Final answer
    x = 759,197.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.