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Finding the Third Proportional to 151,821 and 226,905

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Solution

The third proportional to 151,821 and 226,905 is: 339,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,821 : 226,905 = 226,905 : x
  2. Step 2: Convert to fraction form
    151,821/226,905 = 226,905/x
  3. Step 3: Cross multiply
    151,821x = 226,905 × 226,905
  4. Step 4: Simplify right side
    151,821x = 51,485,879,025
  5. Step 5: Solve for x
    x = 51,485,879,025/151,821
  6. Step 6: Final answer
    x = 339,122.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.