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Finding the Third Proportional to 135,014 and 295,456

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Solution

The third proportional to 135,014 and 295,456 is: 646,557.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,014 : 295,456 = 295,456 : x
  2. Step 2: Convert to fraction form
    135,014/295,456 = 295,456/x
  3. Step 3: Cross multiply
    135,014x = 295,456 × 295,456
  4. Step 4: Simplify right side
    135,014x = 87,294,247,936
  5. Step 5: Solve for x
    x = 87,294,247,936/135,014
  6. Step 6: Final answer
    x = 646,557.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.