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Finding the Third Proportional to 196,468 and 295,851

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Solution

The third proportional to 196,468 and 295,851 is: 445,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,468 : 295,851 = 295,851 : x
  2. Step 2: Convert to fraction form
    196,468/295,851 = 295,851/x
  3. Step 3: Cross multiply
    196,468x = 295,851 × 295,851
  4. Step 4: Simplify right side
    196,468x = 87,527,814,201
  5. Step 5: Solve for x
    x = 87,527,814,201/196,468
  6. Step 6: Final answer
    x = 445,506.72

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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.