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Finding the Third Proportional to 133,308 and 288,000

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Solution

The third proportional to 133,308 and 288,000 is: 622,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,308 : 288,000 = 288,000 : x
  2. Step 2: Convert to fraction form
    133,308/288,000 = 288,000/x
  3. Step 3: Cross multiply
    133,308x = 288,000 × 288,000
  4. Step 4: Simplify right side
    133,308x = 82,944,000,000
  5. Step 5: Solve for x
    x = 82,944,000,000/133,308
  6. Step 6: Final answer
    x = 622,198.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.