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Finding the Third Proportional to 139,811 and 222,385

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Solution

The third proportional to 139,811 and 222,385 is: 353,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,811 : 222,385 = 222,385 : x
  2. Step 2: Convert to fraction form
    139,811/222,385 = 222,385/x
  3. Step 3: Cross multiply
    139,811x = 222,385 × 222,385
  4. Step 4: Simplify right side
    139,811x = 49,455,088,225
  5. Step 5: Solve for x
    x = 49,455,088,225/139,811
  6. Step 6: Final answer
    x = 353,728.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.