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Finding the Third Proportional to 96,784 and 208,400

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Solution

The third proportional to 96,784 and 208,400 is: 448,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,784 : 208,400 = 208,400 : x
  2. Step 2: Convert to fraction form
    96,784/208,400 = 208,400/x
  3. Step 3: Cross multiply
    96,784x = 208,400 × 208,400
  4. Step 4: Simplify right side
    96,784x = 43,430,560,000
  5. Step 5: Solve for x
    x = 43,430,560,000/96,784
  6. Step 6: Final answer
    x = 448,736.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.