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Finding the Third Proportional to 188,264.25 and 263,928.38

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Solution

The third proportional to 188,264.25 and 263,928.38 is: 370,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,264.25 : 263,928.38 = 263,928.38 : x
  2. Step 2: Convert to fraction form
    188,264.25/263,928.38 = 263,928.38/x
  3. Step 3: Cross multiply
    188,264.25x = 263,928.38 × 263,928.38
  4. Step 4: Simplify right side
    188,264.25x = 69,658,187,130.14
  5. Step 5: Solve for x
    x = 69,658,187,130.14/188,264.25
  6. Step 6: Final answer
    x = 370,002.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.