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Finding the Third Proportional to 167,011 and 342,220

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Solution

The third proportional to 167,011 and 342,220 is: 701,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,011 : 342,220 = 342,220 : x
  2. Step 2: Convert to fraction form
    167,011/342,220 = 342,220/x
  3. Step 3: Cross multiply
    167,011x = 342,220 × 342,220
  4. Step 4: Simplify right side
    167,011x = 117,114,528,400
  5. Step 5: Solve for x
    x = 117,114,528,400/167,011
  6. Step 6: Final answer
    x = 701,238.41

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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.