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Finding the Third Proportional to 84,184 and 196,696

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Solution

The third proportional to 84,184 and 196,696 is: 459,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,184 : 196,696 = 196,696 : x
  2. Step 2: Convert to fraction form
    84,184/196,696 = 196,696/x
  3. Step 3: Cross multiply
    84,184x = 196,696 × 196,696
  4. Step 4: Simplify right side
    84,184x = 38,689,316,416
  5. Step 5: Solve for x
    x = 38,689,316,416/84,184
  6. Step 6: Final answer
    x = 459,580.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.