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Finding the Third Proportional to 110,168 and 166,284

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Solution

The third proportional to 110,168 and 166,284 is: 250,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,168 : 166,284 = 166,284 : x
  2. Step 2: Convert to fraction form
    110,168/166,284 = 166,284/x
  3. Step 3: Cross multiply
    110,168x = 166,284 × 166,284
  4. Step 4: Simplify right side
    110,168x = 27,650,368,656
  5. Step 5: Solve for x
    x = 27,650,368,656/110,168
  6. Step 6: Final answer
    x = 250,983.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.