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Finding the Third Proportional to 138,658.50 and 213,861.94

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Solution

The third proportional to 138,658.50 and 213,861.94 is: 329,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,658.50 : 213,861.94 = 213,861.94 : x
  2. Step 2: Convert to fraction form
    138,658.50/213,861.94 = 213,861.94/x
  3. Step 3: Cross multiply
    138,658.50x = 213,861.94 × 213,861.94
  4. Step 4: Simplify right side
    138,658.50x = 45,736,928,311.25
  5. Step 5: Solve for x
    x = 45,736,928,311.25/138,658.50
  6. Step 6: Final answer
    x = 329,853.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.