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Finding the Third Proportional to 196,495 and 401,233

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Solution

The third proportional to 196,495 and 401,233 is: 819,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,495 : 401,233 = 401,233 : x
  2. Step 2: Convert to fraction form
    196,495/401,233 = 401,233/x
  3. Step 3: Cross multiply
    196,495x = 401,233 × 401,233
  4. Step 4: Simplify right side
    196,495x = 160,987,920,289
  5. Step 5: Solve for x
    x = 160,987,920,289/196,495
  6. Step 6: Final answer
    x = 819,297.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.