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Finding the Third Proportional to 253,092.94 and 356,006.81

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Solution

The third proportional to 253,092.94 and 356,006.81 is: 500,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,092.94 : 356,006.81 = 356,006.81 : x
  2. Step 2: Convert to fraction form
    253,092.94/356,006.81 = 356,006.81/x
  3. Step 3: Cross multiply
    253,092.94x = 356,006.81 × 356,006.81
  4. Step 4: Simplify right side
    253,092.94x = 126,740,850,546.41
  5. Step 5: Solve for x
    x = 126,740,850,546.41/253,092.94
  6. Step 6: Final answer
    x = 500,768.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.