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Finding the Third Proportional to 168,726 and 368,592

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Solution

The third proportional to 168,726 and 368,592 is: 805,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,726 : 368,592 = 368,592 : x
  2. Step 2: Convert to fraction form
    168,726/368,592 = 368,592/x
  3. Step 3: Cross multiply
    168,726x = 368,592 × 368,592
  4. Step 4: Simplify right side
    168,726x = 135,860,062,464
  5. Step 5: Solve for x
    x = 135,860,062,464/168,726
  6. Step 6: Final answer
    x = 805,211.19

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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.