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Finding the Third Proportional to 163,344 and 333,600

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Solution

The third proportional to 163,344 and 333,600 is: 681,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,344 : 333,600 = 333,600 : x
  2. Step 2: Convert to fraction form
    163,344/333,600 = 333,600/x
  3. Step 3: Cross multiply
    163,344x = 333,600 × 333,600
  4. Step 4: Simplify right side
    163,344x = 111,288,960,000
  5. Step 5: Solve for x
    x = 111,288,960,000/163,344
  6. Step 6: Final answer
    x = 681,316.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.