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Finding the Third Proportional to 188,986 and 289,986

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Solution

The third proportional to 188,986 and 289,986 is: 444,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,986 : 289,986 = 289,986 : x
  2. Step 2: Convert to fraction form
    188,986/289,986 = 289,986/x
  3. Step 3: Cross multiply
    188,986x = 289,986 × 289,986
  4. Step 4: Simplify right side
    188,986x = 84,091,880,196
  5. Step 5: Solve for x
    x = 84,091,880,196/188,986
  6. Step 6: Final answer
    x = 444,963.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.