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Finding the Third Proportional to 298,101 and 443,100

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Solution

The third proportional to 298,101 and 443,100 is: 658,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,101 : 443,100 = 443,100 : x
  2. Step 2: Convert to fraction form
    298,101/443,100 = 443,100/x
  3. Step 3: Cross multiply
    298,101x = 443,100 × 443,100
  4. Step 4: Simplify right side
    298,101x = 196,337,610,000
  5. Step 5: Solve for x
    x = 196,337,610,000/298,101
  6. Step 6: Final answer
    x = 658,627.81

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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.