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Finding the Third Proportional to 179,620 and 386,334

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Solution

The third proportional to 179,620 and 386,334 is: 830,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,620 : 386,334 = 386,334 : x
  2. Step 2: Convert to fraction form
    179,620/386,334 = 386,334/x
  3. Step 3: Cross multiply
    179,620x = 386,334 × 386,334
  4. Step 4: Simplify right side
    179,620x = 149,253,959,556
  5. Step 5: Solve for x
    x = 149,253,959,556/179,620
  6. Step 6: Final answer
    x = 830,942.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.