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Finding the Third Proportional to 181,905.75 and 375,490.69

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Solution

The third proportional to 181,905.75 and 375,490.69 is: 775,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,905.75 : 375,490.69 = 375,490.69 : x
  2. Step 2: Convert to fraction form
    181,905.75/375,490.69 = 375,490.69/x
  3. Step 3: Cross multiply
    181,905.75x = 375,490.69 × 375,490.69
  4. Step 4: Simplify right side
    181,905.75x = 140,993,256,399.22
  5. Step 5: Solve for x
    x = 140,993,256,399.22/181,905.75
  6. Step 6: Final answer
    x = 775,089.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.