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Finding the Third Proportional to 196,358 and 410,212

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Solution

The third proportional to 196,358 and 410,212 is: 856,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,358 : 410,212 = 410,212 : x
  2. Step 2: Convert to fraction form
    196,358/410,212 = 410,212/x
  3. Step 3: Cross multiply
    196,358x = 410,212 × 410,212
  4. Step 4: Simplify right side
    196,358x = 168,273,884,944
  5. Step 5: Solve for x
    x = 168,273,884,944/196,358
  6. Step 6: Final answer
    x = 856,974.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.