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Finding the Third Proportional to 167,064.75 and 274,261.88

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Solution

The third proportional to 167,064.75 and 274,261.88 is: 450,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,064.75 : 274,261.88 = 274,261.88 : x
  2. Step 2: Convert to fraction form
    167,064.75/274,261.88 = 274,261.88/x
  3. Step 3: Cross multiply
    167,064.75x = 274,261.88 × 274,261.88
  4. Step 4: Simplify right side
    167,064.75x = 75,219,576,078.52
  5. Step 5: Solve for x
    x = 75,219,576,078.52/167,064.75
  6. Step 6: Final answer
    x = 450,242.05

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.