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Finding the Third Proportional to 165,891 and 248,836.50

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Solution

The third proportional to 165,891 and 248,836.50 is: 373,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,891 : 248,836.50 = 248,836.50 : x
  2. Step 2: Convert to fraction form
    165,891/248,836.50 = 248,836.50/x
  3. Step 3: Cross multiply
    165,891x = 248,836.50 × 248,836.50
  4. Step 4: Simplify right side
    165,891x = 61,919,603,732.25
  5. Step 5: Solve for x
    x = 61,919,603,732.25/165,891
  6. Step 6: Final answer
    x = 373,254.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.