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Finding the Third Proportional to 130,992 and 197,250.75

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Solution

The third proportional to 130,992 and 197,250.75 is: 297,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,992 : 197,250.75 = 197,250.75 : x
  2. Step 2: Convert to fraction form
    130,992/197,250.75 = 197,250.75/x
  3. Step 3: Cross multiply
    130,992x = 197,250.75 × 197,250.75
  4. Step 4: Simplify right side
    130,992x = 38,907,858,375.56
  5. Step 5: Solve for x
    x = 38,907,858,375.56/130,992
  6. Step 6: Final answer
    x = 297,024.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.