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Finding the Third Proportional to 181,592 and 387,888

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Solution

The third proportional to 181,592 and 387,888 is: 828,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,592 : 387,888 = 387,888 : x
  2. Step 2: Convert to fraction form
    181,592/387,888 = 387,888/x
  3. Step 3: Cross multiply
    181,592x = 387,888 × 387,888
  4. Step 4: Simplify right side
    181,592x = 150,457,100,544
  5. Step 5: Solve for x
    x = 150,457,100,544/181,592
  6. Step 6: Final answer
    x = 828,544.76

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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.