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Finding the Third Proportional to 196,803 and 407,608.88

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Solution

The third proportional to 196,803 and 407,608.88 is: 844,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,803 : 407,608.88 = 407,608.88 : x
  2. Step 2: Convert to fraction form
    196,803/407,608.88 = 407,608.88/x
  3. Step 3: Cross multiply
    196,803x = 407,608.88 × 407,608.88
  4. Step 4: Simplify right side
    196,803x = 166,144,994,978.77
  5. Step 5: Solve for x
    x = 166,144,994,978.77/196,803
  6. Step 6: Final answer
    x = 844,219.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.