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Finding the Third Proportional to 268,175.25 and 397,627.88

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Solution

The third proportional to 268,175.25 and 397,627.88 is: 589,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,175.25 : 397,627.88 = 397,627.88 : x
  2. Step 2: Convert to fraction form
    268,175.25/397,627.88 = 397,627.88/x
  3. Step 3: Cross multiply
    268,175.25x = 397,627.88 × 397,627.88
  4. Step 4: Simplify right side
    268,175.25x = 158,107,926,977.02
  5. Step 5: Solve for x
    x = 158,107,926,977.02/268,175.25
  6. Step 6: Final answer
    x = 589,569.42

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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.