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Finding the Third Proportional to 188,269 and 367,078

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Solution

The third proportional to 188,269 and 367,078 is: 715,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,269 : 367,078 = 367,078 : x
  2. Step 2: Convert to fraction form
    188,269/367,078 = 367,078/x
  3. Step 3: Cross multiply
    188,269x = 367,078 × 367,078
  4. Step 4: Simplify right side
    188,269x = 134,746,258,084
  5. Step 5: Solve for x
    x = 134,746,258,084/188,269
  6. Step 6: Final answer
    x = 715,711.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.