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Finding the Third Proportional to 101,330.25 and 234,584.25

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Solution

The third proportional to 101,330.25 and 234,584.25 is: 543,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,330.25 : 234,584.25 = 234,584.25 : x
  2. Step 2: Convert to fraction form
    101,330.25/234,584.25 = 234,584.25/x
  3. Step 3: Cross multiply
    101,330.25x = 234,584.25 × 234,584.25
  4. Step 4: Simplify right side
    101,330.25x = 55,029,770,348.06
  5. Step 5: Solve for x
    x = 55,029,770,348.06/101,330.25
  6. Step 6: Final answer
    x = 543,073.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.