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Finding the Third Proportional to 194,778 and 414,666

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Solution

The third proportional to 194,778 and 414,666 is: 882,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,778 : 414,666 = 414,666 : x
  2. Step 2: Convert to fraction form
    194,778/414,666 = 414,666/x
  3. Step 3: Cross multiply
    194,778x = 414,666 × 414,666
  4. Step 4: Simplify right side
    194,778x = 171,947,891,556
  5. Step 5: Solve for x
    x = 171,947,891,556/194,778
  6. Step 6: Final answer
    x = 882,789.08

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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.