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Finding the Third Proportional to 171,960 and 265,716

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Solution

The third proportional to 171,960 and 265,716 is: 410,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,960 : 265,716 = 265,716 : x
  2. Step 2: Convert to fraction form
    171,960/265,716 = 265,716/x
  3. Step 3: Cross multiply
    171,960x = 265,716 × 265,716
  4. Step 4: Simplify right side
    171,960x = 70,604,992,656
  5. Step 5: Solve for x
    x = 70,604,992,656/171,960
  6. Step 6: Final answer
    x = 410,589.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.