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Finding the Third Proportional to 253,288.69 and 356,239.69

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Solution

The third proportional to 253,288.69 and 356,239.69 is: 501,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,288.69 : 356,239.69 = 356,239.69 : x
  2. Step 2: Convert to fraction form
    253,288.69/356,239.69 = 356,239.69/x
  3. Step 3: Cross multiply
    253,288.69x = 356,239.69 × 356,239.69
  4. Step 4: Simplify right side
    253,288.69x = 126,906,714,950.10
  5. Step 5: Solve for x
    x = 126,906,714,950.10/253,288.69
  6. Step 6: Final answer
    x = 501,035.86

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