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Finding the Third Proportional to 175,178 and 269,571

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Solution

The third proportional to 175,178 and 269,571 is: 414,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,178 : 269,571 = 269,571 : x
  2. Step 2: Convert to fraction form
    175,178/269,571 = 269,571/x
  3. Step 3: Cross multiply
    175,178x = 269,571 × 269,571
  4. Step 4: Simplify right side
    175,178x = 72,668,524,041
  5. Step 5: Solve for x
    x = 72,668,524,041/175,178
  6. Step 6: Final answer
    x = 414,826.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.