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Finding the Third Proportional to 223,584 and 332,338

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Solution

The third proportional to 223,584 and 332,338 is: 493,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,584 : 332,338 = 332,338 : x
  2. Step 2: Convert to fraction form
    223,584/332,338 = 332,338/x
  3. Step 3: Cross multiply
    223,584x = 332,338 × 332,338
  4. Step 4: Simplify right side
    223,584x = 110,448,546,244
  5. Step 5: Solve for x
    x = 110,448,546,244/223,584
  6. Step 6: Final answer
    x = 493,991.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.