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Finding the Third Proportional to 194,796 and 414,696

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Solution

The third proportional to 194,796 and 414,696 is: 882,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,796 : 414,696 = 414,696 : x
  2. Step 2: Convert to fraction form
    194,796/414,696 = 414,696/x
  3. Step 3: Cross multiply
    194,796x = 414,696 × 414,696
  4. Step 4: Simplify right side
    194,796x = 171,972,772,416
  5. Step 5: Solve for x
    x = 171,972,772,416/194,796
  6. Step 6: Final answer
    x = 882,835.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.