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Finding the Third Proportional to 171,092 and 412,178

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Solution

The third proportional to 171,092 and 412,178 is: 992,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,092 : 412,178 = 412,178 : x
  2. Step 2: Convert to fraction form
    171,092/412,178 = 412,178/x
  3. Step 3: Cross multiply
    171,092x = 412,178 × 412,178
  4. Step 4: Simplify right side
    171,092x = 169,890,703,684
  5. Step 5: Solve for x
    x = 169,890,703,684/171,092
  6. Step 6: Final answer
    x = 992,978.65

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.