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Finding the Third Proportional to 179,620 and 269,429

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Solution

The third proportional to 179,620 and 269,429 is: 404,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,620 : 269,429 = 269,429 : x
  2. Step 2: Convert to fraction form
    179,620/269,429 = 269,429/x
  3. Step 3: Cross multiply
    179,620x = 269,429 × 269,429
  4. Step 4: Simplify right side
    179,620x = 72,591,986,041
  5. Step 5: Solve for x
    x = 72,591,986,041/179,620
  6. Step 6: Final answer
    x = 404,142.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.