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Finding the Third Proportional to 201,148 and 298,241

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Solution

The third proportional to 201,148 and 298,241 is: 442,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,148 : 298,241 = 298,241 : x
  2. Step 2: Convert to fraction form
    201,148/298,241 = 298,241/x
  3. Step 3: Cross multiply
    201,148x = 298,241 × 298,241
  4. Step 4: Simplify right side
    201,148x = 88,947,694,081
  5. Step 5: Solve for x
    x = 88,947,694,081/201,148
  6. Step 6: Final answer
    x = 442,200.24

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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.