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Finding the Third Proportional to 159,212 and 235,173

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Solution

The third proportional to 159,212 and 235,173 is: 347,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,212 : 235,173 = 235,173 : x
  2. Step 2: Convert to fraction form
    159,212/235,173 = 235,173/x
  3. Step 3: Cross multiply
    159,212x = 235,173 × 235,173
  4. Step 4: Simplify right side
    159,212x = 55,306,339,929
  5. Step 5: Solve for x
    x = 55,306,339,929/159,212
  6. Step 6: Final answer
    x = 347,375.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.