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Finding the Third Proportional to 236,576 and 354,512

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Solution

The third proportional to 236,576 and 354,512 is: 531,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,576 : 354,512 = 354,512 : x
  2. Step 2: Convert to fraction form
    236,576/354,512 = 354,512/x
  3. Step 3: Cross multiply
    236,576x = 354,512 × 354,512
  4. Step 4: Simplify right side
    236,576x = 125,678,758,144
  5. Step 5: Solve for x
    x = 125,678,758,144/236,576
  6. Step 6: Final answer
    x = 531,240.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.