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Finding the Third Proportional to 268,794 and 565,164

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Solution

The third proportional to 268,794 and 565,164 is: 1,188,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,794 : 565,164 = 565,164 : x
  2. Step 2: Convert to fraction form
    268,794/565,164 = 565,164/x
  3. Step 3: Cross multiply
    268,794x = 565,164 × 565,164
  4. Step 4: Simplify right side
    268,794x = 319,410,346,896
  5. Step 5: Solve for x
    x = 319,410,346,896/268,794
  6. Step 6: Final answer
    x = 1,188,309.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.