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Finding the Third Proportional to 86,944 and 190,556

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Solution

The third proportional to 86,944 and 190,556 is: 417,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,944 : 190,556 = 190,556 : x
  2. Step 2: Convert to fraction form
    86,944/190,556 = 190,556/x
  3. Step 3: Cross multiply
    86,944x = 190,556 × 190,556
  4. Step 4: Simplify right side
    86,944x = 36,311,589,136
  5. Step 5: Solve for x
    x = 36,311,589,136/86,944
  6. Step 6: Final answer
    x = 417,643.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.