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Finding the Third Proportional to 171,803.38 and 276,173

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Solution

The third proportional to 171,803.38 and 276,173 is: 443,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,803.38 : 276,173 = 276,173 : x
  2. Step 2: Convert to fraction form
    171,803.38/276,173 = 276,173/x
  3. Step 3: Cross multiply
    171,803.38x = 276,173 × 276,173
  4. Step 4: Simplify right side
    171,803.38x = 76,271,525,929
  5. Step 5: Solve for x
    x = 76,271,525,929/171,803.38
  6. Step 6: Final answer
    x = 443,946.61

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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.