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Finding the Third Proportional to 197,525 and 298,007

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Solution

The third proportional to 197,525 and 298,007 is: 449,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,525 : 298,007 = 298,007 : x
  2. Step 2: Convert to fraction form
    197,525/298,007 = 298,007/x
  3. Step 3: Cross multiply
    197,525x = 298,007 × 298,007
  4. Step 4: Simplify right side
    197,525x = 88,808,172,049
  5. Step 5: Solve for x
    x = 88,808,172,049/197,525
  6. Step 6: Final answer
    x = 449,604.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.