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Finding the Third Proportional to 190,299 and 414,501

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Solution

The third proportional to 190,299 and 414,501 is: 902,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,299 : 414,501 = 414,501 : x
  2. Step 2: Convert to fraction form
    190,299/414,501 = 414,501/x
  3. Step 3: Cross multiply
    190,299x = 414,501 × 414,501
  4. Step 4: Simplify right side
    190,299x = 171,811,079,001
  5. Step 5: Solve for x
    x = 171,811,079,001/190,299
  6. Step 6: Final answer
    x = 902,848.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.