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Finding the Third Proportional to 96,456 and 200,304

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Solution

The third proportional to 96,456 and 200,304 is: 415,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,456 : 200,304 = 200,304 : x
  2. Step 2: Convert to fraction form
    96,456/200,304 = 200,304/x
  3. Step 3: Cross multiply
    96,456x = 200,304 × 200,304
  4. Step 4: Simplify right side
    96,456x = 40,121,692,416
  5. Step 5: Solve for x
    x = 40,121,692,416/96,456
  6. Step 6: Final answer
    x = 415,958.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.