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Finding the Third Proportional to 111,271 and 230,318

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Solution

The third proportional to 111,271 and 230,318 is: 476,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,271 : 230,318 = 230,318 : x
  2. Step 2: Convert to fraction form
    111,271/230,318 = 230,318/x
  3. Step 3: Cross multiply
    111,271x = 230,318 × 230,318
  4. Step 4: Simplify right side
    111,271x = 53,046,381,124
  5. Step 5: Solve for x
    x = 53,046,381,124/111,271
  6. Step 6: Final answer
    x = 476,731.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.