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Finding the Third Proportional to 167,265.28 and 269,321.63

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Solution

The third proportional to 167,265.28 and 269,321.63 is: 433,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,265.28 : 269,321.63 = 269,321.63 : x
  2. Step 2: Convert to fraction form
    167,265.28/269,321.63 = 269,321.63/x
  3. Step 3: Cross multiply
    167,265.28x = 269,321.63 × 269,321.63
  4. Step 4: Simplify right side
    167,265.28x = 72,534,137,692.64
  5. Step 5: Solve for x
    x = 72,534,137,692.64/167,265.28
  6. Step 6: Final answer
    x = 433,647.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.