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Finding the Third Proportional to 133,968 and 213,252

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Solution

The third proportional to 133,968 and 213,252 is: 339,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,968 : 213,252 = 213,252 : x
  2. Step 2: Convert to fraction form
    133,968/213,252 = 213,252/x
  3. Step 3: Cross multiply
    133,968x = 213,252 × 213,252
  4. Step 4: Simplify right side
    133,968x = 45,476,415,504
  5. Step 5: Solve for x
    x = 45,476,415,504/133,968
  6. Step 6: Final answer
    x = 339,457.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.