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Finding the Third Proportional to 134,733.38 and 211,356.84

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Solution

The third proportional to 134,733.38 and 211,356.84 is: 331,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,733.38 : 211,356.84 = 211,356.84 : x
  2. Step 2: Convert to fraction form
    134,733.38/211,356.84 = 211,356.84/x
  3. Step 3: Cross multiply
    134,733.38x = 211,356.84 × 211,356.84
  4. Step 4: Simplify right side
    134,733.38x = 44,671,715,399.96
  5. Step 5: Solve for x
    x = 44,671,715,399.96/134,733.38
  6. Step 6: Final answer
    x = 331,556.42

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.