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Finding the Third Proportional to 135,418.50 and 285,660

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Solution

The third proportional to 135,418.50 and 285,660 is: 602,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,418.50 : 285,660 = 285,660 : x
  2. Step 2: Convert to fraction form
    135,418.50/285,660 = 285,660/x
  3. Step 3: Cross multiply
    135,418.50x = 285,660 × 285,660
  4. Step 4: Simplify right side
    135,418.50x = 81,601,635,600
  5. Step 5: Solve for x
    x = 81,601,635,600/135,418.50
  6. Step 6: Final answer
    x = 602,588.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.