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Finding the Third Proportional to 135,662 and 294,672

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Solution

The third proportional to 135,662 and 294,672 is: 640,058.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,662 : 294,672 = 294,672 : x
  2. Step 2: Convert to fraction form
    135,662/294,672 = 294,672/x
  3. Step 3: Cross multiply
    135,662x = 294,672 × 294,672
  4. Step 4: Simplify right side
    135,662x = 86,831,587,584
  5. Step 5: Solve for x
    x = 86,831,587,584/135,662
  6. Step 6: Final answer
    x = 640,058.29

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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.