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Finding the Third Proportional to 196,464 and 295,844

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Solution

The third proportional to 196,464 and 295,844 is: 445,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,464 : 295,844 = 295,844 : x
  2. Step 2: Convert to fraction form
    196,464/295,844 = 295,844/x
  3. Step 3: Cross multiply
    196,464x = 295,844 × 295,844
  4. Step 4: Simplify right side
    196,464x = 87,523,672,336
  5. Step 5: Solve for x
    x = 87,523,672,336/196,464
  6. Step 6: Final answer
    x = 445,494.71

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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.