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Finding the Third Proportional to 125,304.75 and 270,170.25

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Solution

The third proportional to 125,304.75 and 270,170.25 is: 582,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,304.75 : 270,170.25 = 270,170.25 : x
  2. Step 2: Convert to fraction form
    125,304.75/270,170.25 = 270,170.25/x
  3. Step 3: Cross multiply
    125,304.75x = 270,170.25 × 270,170.25
  4. Step 4: Simplify right side
    125,304.75x = 72,991,963,985.06
  5. Step 5: Solve for x
    x = 72,991,963,985.06/125,304.75
  6. Step 6: Final answer
    x = 582,515.54

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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.