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Finding the Third Proportional to 193,976 and 288,048

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Solution

The third proportional to 193,976 and 288,048 is: 427,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,976 : 288,048 = 288,048 : x
  2. Step 2: Convert to fraction form
    193,976/288,048 = 288,048/x
  3. Step 3: Cross multiply
    193,976x = 288,048 × 288,048
  4. Step 4: Simplify right side
    193,976x = 82,971,650,304
  5. Step 5: Solve for x
    x = 82,971,650,304/193,976
  6. Step 6: Final answer
    x = 427,741.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.