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Finding the Third Proportional to 149,908.88 and 227,932.88

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Solution

The third proportional to 149,908.88 and 227,932.88 is: 346,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,908.88 : 227,932.88 = 227,932.88 : x
  2. Step 2: Convert to fraction form
    149,908.88/227,932.88 = 227,932.88/x
  3. Step 3: Cross multiply
    149,908.88x = 227,932.88 × 227,932.88
  4. Step 4: Simplify right side
    149,908.88x = 51,953,395,505.77
  5. Step 5: Solve for x
    x = 51,953,395,505.77/149,908.88
  6. Step 6: Final answer
    x = 346,566.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.