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Finding the Third Proportional to 196,909 and 297,167

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Solution

The third proportional to 196,909 and 297,167 is: 448,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,909 : 297,167 = 297,167 : x
  2. Step 2: Convert to fraction form
    196,909/297,167 = 297,167/x
  3. Step 3: Cross multiply
    196,909x = 297,167 × 297,167
  4. Step 4: Simplify right side
    196,909x = 88,308,225,889
  5. Step 5: Solve for x
    x = 88,308,225,889/196,909
  6. Step 6: Final answer
    x = 448,472.27

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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.