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Finding the Third Proportional to 110,848 and 268,352

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Solution

The third proportional to 110,848 and 268,352 is: 649,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,848 : 268,352 = 268,352 : x
  2. Step 2: Convert to fraction form
    110,848/268,352 = 268,352/x
  3. Step 3: Cross multiply
    110,848x = 268,352 × 268,352
  4. Step 4: Simplify right side
    110,848x = 72,012,795,904
  5. Step 5: Solve for x
    x = 72,012,795,904/110,848
  6. Step 6: Final answer
    x = 649,653.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.