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Finding the Third Proportional to 183,978 and 247,248

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Solution

The third proportional to 183,978 and 247,248 is: 332,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,978 : 247,248 = 247,248 : x
  2. Step 2: Convert to fraction form
    183,978/247,248 = 247,248/x
  3. Step 3: Cross multiply
    183,978x = 247,248 × 247,248
  4. Step 4: Simplify right side
    183,978x = 61,131,573,504
  5. Step 5: Solve for x
    x = 61,131,573,504/183,978
  6. Step 6: Final answer
    x = 332,276.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.