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Finding the Third Proportional to 201,096 and 298,909

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Solution

The third proportional to 201,096 and 298,909 is: 444,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,096 : 298,909 = 298,909 : x
  2. Step 2: Convert to fraction form
    201,096/298,909 = 298,909/x
  3. Step 3: Cross multiply
    201,096x = 298,909 × 298,909
  4. Step 4: Simplify right side
    201,096x = 89,346,590,281
  5. Step 5: Solve for x
    x = 89,346,590,281/201,096
  6. Step 6: Final answer
    x = 444,298.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.