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Finding the Third Proportional to 201,149 and 298,241.75

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Solution

The third proportional to 201,149 and 298,241.75 is: 442,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,149 : 298,241.75 = 298,241.75 : x
  2. Step 2: Convert to fraction form
    201,149/298,241.75 = 298,241.75/x
  3. Step 3: Cross multiply
    201,149x = 298,241.75 × 298,241.75
  4. Step 4: Simplify right side
    201,149x = 88,948,141,443.06
  5. Step 5: Solve for x
    x = 88,948,141,443.06/201,149
  6. Step 6: Final answer
    x = 442,200.27

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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.