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Finding the Third Proportional to 149,855.06 and 226,035.56

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Solution

The third proportional to 149,855.06 and 226,035.56 is: 340,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,855.06 : 226,035.56 = 226,035.56 : x
  2. Step 2: Convert to fraction form
    149,855.06/226,035.56 = 226,035.56/x
  3. Step 3: Cross multiply
    149,855.06x = 226,035.56 × 226,035.56
  4. Step 4: Simplify right side
    149,855.06x = 51,092,075,514.69
  5. Step 5: Solve for x
    x = 51,092,075,514.69/149,855.06
  6. Step 6: Final answer
    x = 340,943.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.