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Finding the Third Proportional to 169,533 and 368,199

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Solution

The third proportional to 169,533 and 368,199 is: 799,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,533 : 368,199 = 368,199 : x
  2. Step 2: Convert to fraction form
    169,533/368,199 = 368,199/x
  3. Step 3: Cross multiply
    169,533x = 368,199 × 368,199
  4. Step 4: Simplify right side
    169,533x = 135,570,503,601
  5. Step 5: Solve for x
    x = 135,570,503,601/169,533
  6. Step 6: Final answer
    x = 799,670.29

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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.