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Finding the Third Proportional to 110,928 and 166,338

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Solution

The third proportional to 110,928 and 166,338 is: 249,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,928 : 166,338 = 166,338 : x
  2. Step 2: Convert to fraction form
    110,928/166,338 = 166,338/x
  3. Step 3: Cross multiply
    110,928x = 166,338 × 166,338
  4. Step 4: Simplify right side
    110,928x = 27,668,330,244
  5. Step 5: Solve for x
    x = 27,668,330,244/110,928
  6. Step 6: Final answer
    x = 249,426.03

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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.