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Finding the Third Proportional to 177,523 and 386,149

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Solution

The third proportional to 177,523 and 386,149 is: 839,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,523 : 386,149 = 386,149 : x
  2. Step 2: Convert to fraction form
    177,523/386,149 = 386,149/x
  3. Step 3: Cross multiply
    177,523x = 386,149 × 386,149
  4. Step 4: Simplify right side
    177,523x = 149,111,050,201
  5. Step 5: Solve for x
    x = 149,111,050,201/177,523
  6. Step 6: Final answer
    x = 839,953.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.