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Finding the Third Proportional to 123,260 and 190,325

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Solution

The third proportional to 123,260 and 190,325 is: 293,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,260 : 190,325 = 190,325 : x
  2. Step 2: Convert to fraction form
    123,260/190,325 = 190,325/x
  3. Step 3: Cross multiply
    123,260x = 190,325 × 190,325
  4. Step 4: Simplify right side
    123,260x = 36,223,605,625
  5. Step 5: Solve for x
    x = 36,223,605,625/123,260
  6. Step 6: Final answer
    x = 293,879.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.