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Finding the Third Proportional to 167,570 and 365,250

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Solution

The third proportional to 167,570 and 365,250 is: 796,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,570 : 365,250 = 365,250 : x
  2. Step 2: Convert to fraction form
    167,570/365,250 = 365,250/x
  3. Step 3: Cross multiply
    167,570x = 365,250 × 365,250
  4. Step 4: Simplify right side
    167,570x = 133,407,562,500
  5. Step 5: Solve for x
    x = 133,407,562,500/167,570
  6. Step 6: Final answer
    x = 796,130.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.