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Finding the Third Proportional to 188,268 and 367,076

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Solution

The third proportional to 188,268 and 367,076 is: 715,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,268 : 367,076 = 367,076 : x
  2. Step 2: Convert to fraction form
    188,268/367,076 = 367,076/x
  3. Step 3: Cross multiply
    188,268x = 367,076 × 367,076
  4. Step 4: Simplify right side
    188,268x = 134,744,789,776
  5. Step 5: Solve for x
    x = 134,744,789,776/188,268
  6. Step 6: Final answer
    x = 715,707.34

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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.