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Finding the Third Proportional to 167,554 and 364,196

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Solution

The third proportional to 167,554 and 364,196 is: 791,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,554 : 364,196 = 364,196 : x
  2. Step 2: Convert to fraction form
    167,554/364,196 = 364,196/x
  3. Step 3: Cross multiply
    167,554x = 364,196 × 364,196
  4. Step 4: Simplify right side
    167,554x = 132,638,726,416
  5. Step 5: Solve for x
    x = 132,638,726,416/167,554
  6. Step 6: Final answer
    x = 791,617.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.