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Finding the Third Proportional to 181,116 and 395,888

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Solution

The third proportional to 181,116 and 395,888 is: 865,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,116 : 395,888 = 395,888 : x
  2. Step 2: Convert to fraction form
    181,116/395,888 = 395,888/x
  3. Step 3: Cross multiply
    181,116x = 395,888 × 395,888
  4. Step 4: Simplify right side
    181,116x = 156,727,308,544
  5. Step 5: Solve for x
    x = 156,727,308,544/181,116
  6. Step 6: Final answer
    x = 865,342.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.