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Finding the Third Proportional to 171,652 and 362,600

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Solution

The third proportional to 171,652 and 362,600 is: 765,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,652 : 362,600 = 362,600 : x
  2. Step 2: Convert to fraction form
    171,652/362,600 = 362,600/x
  3. Step 3: Cross multiply
    171,652x = 362,600 × 362,600
  4. Step 4: Simplify right side
    171,652x = 131,478,760,000
  5. Step 5: Solve for x
    x = 131,478,760,000/171,652
  6. Step 6: Final answer
    x = 765,961.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.