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Finding the Third Proportional to 179,094 and 386,166

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Solution

The third proportional to 179,094 and 386,166 is: 832,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,094 : 386,166 = 386,166 : x
  2. Step 2: Convert to fraction form
    179,094/386,166 = 386,166/x
  3. Step 3: Cross multiply
    179,094x = 386,166 × 386,166
  4. Step 4: Simplify right side
    179,094x = 149,124,179,556
  5. Step 5: Solve for x
    x = 149,124,179,556/179,094
  6. Step 6: Final answer
    x = 832,658.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.