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Finding the Third Proportional to 151,012 and 226,504

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Solution

The third proportional to 151,012 and 226,504 is: 339,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,012 : 226,504 = 226,504 : x
  2. Step 2: Convert to fraction form
    151,012/226,504 = 226,504/x
  3. Step 3: Cross multiply
    151,012x = 226,504 × 226,504
  4. Step 4: Simplify right side
    151,012x = 51,304,062,016
  5. Step 5: Solve for x
    x = 51,304,062,016/151,012
  6. Step 6: Final answer
    x = 339,735.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.