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Finding the Third Proportional to 122,240.39 and 194,508.21

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Solution

The third proportional to 122,240.39 and 194,508.21 is: 309,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,240.39 : 194,508.21 = 194,508.21 : x
  2. Step 2: Convert to fraction form
    122,240.39/194,508.21 = 194,508.21/x
  3. Step 3: Cross multiply
    122,240.39x = 194,508.21 × 194,508.21
  4. Step 4: Simplify right side
    122,240.39x = 37,833,444,122.11
  5. Step 5: Solve for x
    x = 37,833,444,122.11/122,240.39
  6. Step 6: Final answer
    x = 309,500.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.