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Finding the Third Proportional to 133,614 and 290,028

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Solution

The third proportional to 133,614 and 290,028 is: 629,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,614 : 290,028 = 290,028 : x
  2. Step 2: Convert to fraction form
    133,614/290,028 = 290,028/x
  3. Step 3: Cross multiply
    133,614x = 290,028 × 290,028
  4. Step 4: Simplify right side
    133,614x = 84,116,240,784
  5. Step 5: Solve for x
    x = 84,116,240,784/133,614
  6. Step 6: Final answer
    x = 629,546.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.