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Finding the Third Proportional to 178,845 and 265,191

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Solution

The third proportional to 178,845 and 265,191 is: 393,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,845 : 265,191 = 265,191 : x
  2. Step 2: Convert to fraction form
    178,845/265,191 = 265,191/x
  3. Step 3: Cross multiply
    178,845x = 265,191 × 265,191
  4. Step 4: Simplify right side
    178,845x = 70,326,266,481
  5. Step 5: Solve for x
    x = 70,326,266,481/178,845
  6. Step 6: Final answer
    x = 393,224.67

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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.