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Finding the Third Proportional to 188,268 and 367,078

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Solution

The third proportional to 188,268 and 367,078 is: 715,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,268 : 367,078 = 367,078 : x
  2. Step 2: Convert to fraction form
    188,268/367,078 = 367,078/x
  3. Step 3: Cross multiply
    188,268x = 367,078 × 367,078
  4. Step 4: Simplify right side
    188,268x = 134,746,258,084
  5. Step 5: Solve for x
    x = 134,746,258,084/188,268
  6. Step 6: Final answer
    x = 715,715.14

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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.