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Finding the Third Proportional to 149,873 and 321,064

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Solution

The third proportional to 149,873 and 321,064 is: 687,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,873 : 321,064 = 321,064 : x
  2. Step 2: Convert to fraction form
    149,873/321,064 = 321,064/x
  3. Step 3: Cross multiply
    149,873x = 321,064 × 321,064
  4. Step 4: Simplify right side
    149,873x = 103,082,092,096
  5. Step 5: Solve for x
    x = 103,082,092,096/149,873
  6. Step 6: Final answer
    x = 687,796.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.