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Finding the Third Proportional to 196,924.50 and 421,870

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Solution

The third proportional to 196,924.50 and 421,870 is: 903,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,924.50 : 421,870 = 421,870 : x
  2. Step 2: Convert to fraction form
    196,924.50/421,870 = 421,870/x
  3. Step 3: Cross multiply
    196,924.50x = 421,870 × 421,870
  4. Step 4: Simplify right side
    196,924.50x = 177,974,296,900
  5. Step 5: Solve for x
    x = 177,974,296,900/196,924.50
  6. Step 6: Final answer
    x = 903,769.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.