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Finding the Third Proportional to 104,176 and 227,952

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Solution

The third proportional to 104,176 and 227,952 is: 498,791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,176 : 227,952 = 227,952 : x
  2. Step 2: Convert to fraction form
    104,176/227,952 = 227,952/x
  3. Step 3: Cross multiply
    104,176x = 227,952 × 227,952
  4. Step 4: Simplify right side
    104,176x = 51,962,114,304
  5. Step 5: Solve for x
    x = 51,962,114,304/104,176
  6. Step 6: Final answer
    x = 498,791.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.