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Finding the Third Proportional to 133,372.83 and 274,536.84

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Solution

The third proportional to 133,372.83 and 274,536.84 is: 565,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,372.83 : 274,536.84 = 274,536.84 : x
  2. Step 2: Convert to fraction form
    133,372.83/274,536.84 = 274,536.84/x
  3. Step 3: Cross multiply
    133,372.83x = 274,536.84 × 274,536.84
  4. Step 4: Simplify right side
    133,372.83x = 75,370,478,576.21
  5. Step 5: Solve for x
    x = 75,370,478,576.21/133,372.83
  6. Step 6: Final answer
    x = 565,111.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.