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Finding the Third Proportional to 177,444 and 389,832

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Solution

The third proportional to 177,444 and 389,832 is: 856,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,444 : 389,832 = 389,832 : x
  2. Step 2: Convert to fraction form
    177,444/389,832 = 389,832/x
  3. Step 3: Cross multiply
    177,444x = 389,832 × 389,832
  4. Step 4: Simplify right side
    177,444x = 151,968,988,224
  5. Step 5: Solve for x
    x = 151,968,988,224/177,444
  6. Step 6: Final answer
    x = 856,433.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.