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Finding the Third Proportional to 188,420 and 264,078

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Solution

The third proportional to 188,420 and 264,078 is: 370,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,420 : 264,078 = 264,078 : x
  2. Step 2: Convert to fraction form
    188,420/264,078 = 264,078/x
  3. Step 3: Cross multiply
    188,420x = 264,078 × 264,078
  4. Step 4: Simplify right side
    188,420x = 69,737,190,084
  5. Step 5: Solve for x
    x = 69,737,190,084/188,420
  6. Step 6: Final answer
    x = 370,115.65

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