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Finding the Third Proportional to 196,774 and 297,505

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Solution

The third proportional to 196,774 and 297,505 is: 449,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,774 : 297,505 = 297,505 : x
  2. Step 2: Convert to fraction form
    196,774/297,505 = 297,505/x
  3. Step 3: Cross multiply
    196,774x = 297,505 × 297,505
  4. Step 4: Simplify right side
    196,774x = 88,509,225,025
  5. Step 5: Solve for x
    x = 88,509,225,025/196,774
  6. Step 6: Final answer
    x = 449,801.42

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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.