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Finding the Third Proportional to 196,356 and 410,208

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Solution

The third proportional to 196,356 and 410,208 is: 856,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,356 : 410,208 = 410,208 : x
  2. Step 2: Convert to fraction form
    196,356/410,208 = 410,208/x
  3. Step 3: Cross multiply
    196,356x = 410,208 × 410,208
  4. Step 4: Simplify right side
    196,356x = 168,270,603,264
  5. Step 5: Solve for x
    x = 168,270,603,264/196,356
  6. Step 6: Final answer
    x = 856,966.95

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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.