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Finding the Third Proportional to 248,848 and 377,880

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Solution

The third proportional to 248,848 and 377,880 is: 573,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,848 : 377,880 = 377,880 : x
  2. Step 2: Convert to fraction form
    248,848/377,880 = 377,880/x
  3. Step 3: Cross multiply
    248,848x = 377,880 × 377,880
  4. Step 4: Simplify right side
    248,848x = 142,793,294,400
  5. Step 5: Solve for x
    x = 142,793,294,400/248,848
  6. Step 6: Final answer
    x = 573,817.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.