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Finding the Third Proportional to 177,819 and 386,164

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Solution

The third proportional to 177,819 and 386,164 is: 838,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,819 : 386,164 = 386,164 : x
  2. Step 2: Convert to fraction form
    177,819/386,164 = 386,164/x
  3. Step 3: Cross multiply
    177,819x = 386,164 × 386,164
  4. Step 4: Simplify right side
    177,819x = 149,122,634,896
  5. Step 5: Solve for x
    x = 149,122,634,896/177,819
  6. Step 6: Final answer
    x = 838,620.37

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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.