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Finding the Third Proportional to 133,064 and 295,647

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Solution

The third proportional to 133,064 and 295,647 is: 656,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,064 : 295,647 = 295,647 : x
  2. Step 2: Convert to fraction form
    133,064/295,647 = 295,647/x
  3. Step 3: Cross multiply
    133,064x = 295,647 × 295,647
  4. Step 4: Simplify right side
    133,064x = 87,407,148,609
  5. Step 5: Solve for x
    x = 87,407,148,609/133,064
  6. Step 6: Final answer
    x = 656,880.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.