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Finding the Third Proportional to 251,901.56 and 377,694.56

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Solution

The third proportional to 251,901.56 and 377,694.56 is: 566,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,901.56 : 377,694.56 = 377,694.56 : x
  2. Step 2: Convert to fraction form
    251,901.56/377,694.56 = 377,694.56/x
  3. Step 3: Cross multiply
    251,901.56x = 377,694.56 × 377,694.56
  4. Step 4: Simplify right side
    251,901.56x = 142,653,182,542.07
  5. Step 5: Solve for x
    x = 142,653,182,542.07/251,901.56
  6. Step 6: Final answer
    x = 566,305.27

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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.