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Finding the Third Proportional to 171,880 and 265,596

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Solution

The third proportional to 171,880 and 265,596 is: 410,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,880 : 265,596 = 265,596 : x
  2. Step 2: Convert to fraction form
    171,880/265,596 = 265,596/x
  3. Step 3: Cross multiply
    171,880x = 265,596 × 265,596
  4. Step 4: Simplify right side
    171,880x = 70,541,235,216
  5. Step 5: Solve for x
    x = 70,541,235,216/171,880
  6. Step 6: Final answer
    x = 410,409.79

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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.