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Finding the Third Proportional to 139,679.50 and 216,238

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Solution

The third proportional to 139,679.50 and 216,238 is: 334,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,679.50 : 216,238 = 216,238 : x
  2. Step 2: Convert to fraction form
    139,679.50/216,238 = 216,238/x
  3. Step 3: Cross multiply
    139,679.50x = 216,238 × 216,238
  4. Step 4: Simplify right side
    139,679.50x = 46,758,872,644
  5. Step 5: Solve for x
    x = 46,758,872,644/139,679.50
  6. Step 6: Final answer
    x = 334,758.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.