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Finding the Third Proportional to 194,610 and 414,330

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Solution

The third proportional to 194,610 and 414,330 is: 882,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,610 : 414,330 = 414,330 : x
  2. Step 2: Convert to fraction form
    194,610/414,330 = 414,330/x
  3. Step 3: Cross multiply
    194,610x = 414,330 × 414,330
  4. Step 4: Simplify right side
    194,610x = 171,669,348,900
  5. Step 5: Solve for x
    x = 171,669,348,900/194,610
  6. Step 6: Final answer
    x = 882,119.88

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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.