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Finding the Third Proportional to 168,546 and 364,085

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Solution

The third proportional to 168,546 and 364,085 is: 786,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,546 : 364,085 = 364,085 : x
  2. Step 2: Convert to fraction form
    168,546/364,085 = 364,085/x
  3. Step 3: Cross multiply
    168,546x = 364,085 × 364,085
  4. Step 4: Simplify right side
    168,546x = 132,557,887,225
  5. Step 5: Solve for x
    x = 132,557,887,225/168,546
  6. Step 6: Final answer
    x = 786,478.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.