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Finding the Third Proportional to 167,572 and 365,252

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Solution

The third proportional to 167,572 and 365,252 is: 796,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,572 : 365,252 = 365,252 : x
  2. Step 2: Convert to fraction form
    167,572/365,252 = 365,252/x
  3. Step 3: Cross multiply
    167,572x = 365,252 × 365,252
  4. Step 4: Simplify right side
    167,572x = 133,409,023,504
  5. Step 5: Solve for x
    x = 133,409,023,504/167,572
  6. Step 6: Final answer
    x = 796,129.57

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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.