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Finding the Third Proportional to 145,268 and 324,556

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Solution

The third proportional to 145,268 and 324,556 is: 725,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,268 : 324,556 = 324,556 : x
  2. Step 2: Convert to fraction form
    145,268/324,556 = 324,556/x
  3. Step 3: Cross multiply
    145,268x = 324,556 × 324,556
  4. Step 4: Simplify right side
    145,268x = 105,336,597,136
  5. Step 5: Solve for x
    x = 105,336,597,136/145,268
  6. Step 6: Final answer
    x = 725,119.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.