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Finding the Third Proportional to 248,463 and 331,033.50

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Solution

The third proportional to 248,463 and 331,033.50 is: 441,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,463 : 331,033.50 = 331,033.50 : x
  2. Step 2: Convert to fraction form
    248,463/331,033.50 = 331,033.50/x
  3. Step 3: Cross multiply
    248,463x = 331,033.50 × 331,033.50
  4. Step 4: Simplify right side
    248,463x = 109,583,178,122.25
  5. Step 5: Solve for x
    x = 109,583,178,122.25/248,463
  6. Step 6: Final answer
    x = 441,044.25

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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.