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Finding the Third Proportional to 151,296.75 and 226,056

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Solution

The third proportional to 151,296.75 and 226,056 is: 337,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,296.75 : 226,056 = 226,056 : x
  2. Step 2: Convert to fraction form
    151,296.75/226,056 = 226,056/x
  3. Step 3: Cross multiply
    151,296.75x = 226,056 × 226,056
  4. Step 4: Simplify right side
    151,296.75x = 51,101,315,136
  5. Step 5: Solve for x
    x = 51,101,315,136/151,296.75
  6. Step 6: Final answer
    x = 337,755.54

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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.