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Finding the Third Proportional to 110,565 and 175,338

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Solution

The third proportional to 110,565 and 175,338 is: 278,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,565 : 175,338 = 175,338 : x
  2. Step 2: Convert to fraction form
    110,565/175,338 = 175,338/x
  3. Step 3: Cross multiply
    110,565x = 175,338 × 175,338
  4. Step 4: Simplify right side
    110,565x = 30,743,414,244
  5. Step 5: Solve for x
    x = 30,743,414,244/110,565
  6. Step 6: Final answer
    x = 278,057.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.