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Finding the Third Proportional to 105,452 and 227,032

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Solution

The third proportional to 105,452 and 227,032 is: 488,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452 : 227,032 = 227,032 : x
  2. Step 2: Convert to fraction form
    105,452/227,032 = 227,032/x
  3. Step 3: Cross multiply
    105,452x = 227,032 × 227,032
  4. Step 4: Simplify right side
    105,452x = 51,543,529,024
  5. Step 5: Solve for x
    x = 51,543,529,024/105,452
  6. Step 6: Final answer
    x = 488,786.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.