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Finding the Third Proportional to 177,192 and 388,831

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Solution

The third proportional to 177,192 and 388,831 is: 853,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,192 : 388,831 = 388,831 : x
  2. Step 2: Convert to fraction form
    177,192/388,831 = 388,831/x
  3. Step 3: Cross multiply
    177,192x = 388,831 × 388,831
  4. Step 4: Simplify right side
    177,192x = 151,189,546,561
  5. Step 5: Solve for x
    x = 151,189,546,561/177,192
  6. Step 6: Final answer
    x = 853,252.67

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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.