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Finding the Third Proportional to 118,183 and 175,418

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Solution

The third proportional to 118,183 and 175,418 is: 260,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,183 : 175,418 = 175,418 : x
  2. Step 2: Convert to fraction form
    118,183/175,418 = 175,418/x
  3. Step 3: Cross multiply
    118,183x = 175,418 × 175,418
  4. Step 4: Simplify right side
    118,183x = 30,771,474,724
  5. Step 5: Solve for x
    x = 30,771,474,724/118,183
  6. Step 6: Final answer
    x = 260,371.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.