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Finding the Third Proportional to 181,224 and 375,192

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Solution

The third proportional to 181,224 and 375,192 is: 776,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,224 : 375,192 = 375,192 : x
  2. Step 2: Convert to fraction form
    181,224/375,192 = 375,192/x
  3. Step 3: Cross multiply
    181,224x = 375,192 × 375,192
  4. Step 4: Simplify right side
    181,224x = 140,769,036,864
  5. Step 5: Solve for x
    x = 140,769,036,864/181,224
  6. Step 6: Final answer
    x = 776,768.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.