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Finding the Third Proportional to 177,744 and 385,608

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Solution

The third proportional to 177,744 and 385,608 is: 836,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,744 : 385,608 = 385,608 : x
  2. Step 2: Convert to fraction form
    177,744/385,608 = 385,608/x
  3. Step 3: Cross multiply
    177,744x = 385,608 × 385,608
  4. Step 4: Simplify right side
    177,744x = 148,693,529,664
  5. Step 5: Solve for x
    x = 148,693,529,664/177,744
  6. Step 6: Final answer
    x = 836,560.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.