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Finding the Third Proportional to 168,836 and 360,271

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Solution

The third proportional to 168,836 and 360,271 is: 768,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,836 : 360,271 = 360,271 : x
  2. Step 2: Convert to fraction form
    168,836/360,271 = 360,271/x
  3. Step 3: Cross multiply
    168,836x = 360,271 × 360,271
  4. Step 4: Simplify right side
    168,836x = 129,795,193,441
  5. Step 5: Solve for x
    x = 129,795,193,441/168,836
  6. Step 6: Final answer
    x = 768,764.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.