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Finding the Third Proportional to 116,444 and 237,171

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Solution

The third proportional to 116,444 and 237,171 is: 483,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,444 : 237,171 = 237,171 : x
  2. Step 2: Convert to fraction form
    116,444/237,171 = 237,171/x
  3. Step 3: Cross multiply
    116,444x = 237,171 × 237,171
  4. Step 4: Simplify right side
    116,444x = 56,250,083,241
  5. Step 5: Solve for x
    x = 56,250,083,241/116,444
  6. Step 6: Final answer
    x = 483,065.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.