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Finding the Third Proportional to 244,857 and 346,782.75

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Solution

The third proportional to 244,857 and 346,782.75 is: 491,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,857 : 346,782.75 = 346,782.75 : x
  2. Step 2: Convert to fraction form
    244,857/346,782.75 = 346,782.75/x
  3. Step 3: Cross multiply
    244,857x = 346,782.75 × 346,782.75
  4. Step 4: Simplify right side
    244,857x = 120,258,275,697.56
  5. Step 5: Solve for x
    x = 120,258,275,697.56/244,857
  6. Step 6: Final answer
    x = 491,136.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.