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Finding the Third Proportional to 167,024 and 342,247

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Solution

The third proportional to 167,024 and 342,247 is: 701,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,024 : 342,247 = 342,247 : x
  2. Step 2: Convert to fraction form
    167,024/342,247 = 342,247/x
  3. Step 3: Cross multiply
    167,024x = 342,247 × 342,247
  4. Step 4: Simplify right side
    167,024x = 117,133,009,009
  5. Step 5: Solve for x
    x = 117,133,009,009/167,024
  6. Step 6: Final answer
    x = 701,294.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.