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Finding the Third Proportional to 196,506.75 and 421,029.38

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Solution

The third proportional to 196,506.75 and 421,029.38 is: 902,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,506.75 : 421,029.38 = 421,029.38 : x
  2. Step 2: Convert to fraction form
    196,506.75/421,029.38 = 421,029.38/x
  3. Step 3: Cross multiply
    196,506.75x = 421,029.38 × 421,029.38
  4. Step 4: Simplify right side
    196,506.75x = 177,265,734,612.89
  5. Step 5: Solve for x
    x = 177,265,734,612.89/196,506.75
  6. Step 6: Final answer
    x = 902,084.71

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Why These Related Problems?

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