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Finding the Third Proportional to 248,478 and 331,050

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Solution

The third proportional to 248,478 and 331,050 is: 441,061.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,478 : 331,050 = 331,050 : x
  2. Step 2: Convert to fraction form
    248,478/331,050 = 331,050/x
  3. Step 3: Cross multiply
    248,478x = 331,050 × 331,050
  4. Step 4: Simplify right side
    248,478x = 109,594,102,500
  5. Step 5: Solve for x
    x = 109,594,102,500/248,478
  6. Step 6: Final answer
    x = 441,061.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.