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Finding the Third Proportional to 196,108.25 and 276,157.50

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Solution

The third proportional to 196,108.25 and 276,157.50 is: 388,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,108.25 : 276,157.50 = 276,157.50 : x
  2. Step 2: Convert to fraction form
    196,108.25/276,157.50 = 276,157.50/x
  3. Step 3: Cross multiply
    196,108.25x = 276,157.50 × 276,157.50
  4. Step 4: Simplify right side
    196,108.25x = 76,262,964,806.25
  5. Step 5: Solve for x
    x = 76,262,964,806.25/196,108.25
  6. Step 6: Final answer
    x = 388,881.98

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.