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Finding the Third Proportional to 118,191 and 273,336

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Solution

The third proportional to 118,191 and 273,336 is: 632,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,191 : 273,336 = 273,336 : x
  2. Step 2: Convert to fraction form
    118,191/273,336 = 273,336/x
  3. Step 3: Cross multiply
    118,191x = 273,336 × 273,336
  4. Step 4: Simplify right side
    118,191x = 74,712,568,896
  5. Step 5: Solve for x
    x = 74,712,568,896/118,191
  6. Step 6: Final answer
    x = 632,134.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.