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Finding the Third Proportional to 196,893 and 402,084

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Solution

The third proportional to 196,893 and 402,084 is: 821,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,893 : 402,084 = 402,084 : x
  2. Step 2: Convert to fraction form
    196,893/402,084 = 402,084/x
  3. Step 3: Cross multiply
    196,893x = 402,084 × 402,084
  4. Step 4: Simplify right side
    196,893x = 161,671,543,056
  5. Step 5: Solve for x
    x = 161,671,543,056/196,893
  6. Step 6: Final answer
    x = 821,113.72

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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.