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Finding the Third Proportional to 211,794.43 and 296,235.98

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Solution

The third proportional to 211,794.43 and 296,235.98 is: 414,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,794.43 : 296,235.98 = 296,235.98 : x
  2. Step 2: Convert to fraction form
    211,794.43/296,235.98 = 296,235.98/x
  3. Step 3: Cross multiply
    211,794.43x = 296,235.98 × 296,235.98
  4. Step 4: Simplify right side
    211,794.43x = 87,755,758,438.63
  5. Step 5: Solve for x
    x = 87,755,758,438.63/211,794.43
  6. Step 6: Final answer
    x = 414,344.03

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.