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Finding the Third Proportional to 135,996 and 294,588

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Solution

The third proportional to 135,996 and 294,588 is: 638,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,996 : 294,588 = 294,588 : x
  2. Step 2: Convert to fraction form
    135,996/294,588 = 294,588/x
  3. Step 3: Cross multiply
    135,996x = 294,588 × 294,588
  4. Step 4: Simplify right side
    135,996x = 86,782,089,744
  5. Step 5: Solve for x
    x = 86,782,089,744/135,996
  6. Step 6: Final answer
    x = 638,122.37

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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.