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Finding the Third Proportional to 170,224 and 361,968

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Solution

The third proportional to 170,224 and 361,968 is: 769,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,224 : 361,968 = 361,968 : x
  2. Step 2: Convert to fraction form
    170,224/361,968 = 361,968/x
  3. Step 3: Cross multiply
    170,224x = 361,968 × 361,968
  4. Step 4: Simplify right side
    170,224x = 131,020,833,024
  5. Step 5: Solve for x
    x = 131,020,833,024/170,224
  6. Step 6: Final answer
    x = 769,696.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.