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Finding the Third Proportional to 181,860 and 388,996

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Solution

The third proportional to 181,860 and 388,996 is: 832,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,860 : 388,996 = 388,996 : x
  2. Step 2: Convert to fraction form
    181,860/388,996 = 388,996/x
  3. Step 3: Cross multiply
    181,860x = 388,996 × 388,996
  4. Step 4: Simplify right side
    181,860x = 151,317,888,016
  5. Step 5: Solve for x
    x = 151,317,888,016/181,860
  6. Step 6: Final answer
    x = 832,057.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.