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Finding the Third Proportional to 111,244 and 226,352

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Solution

The third proportional to 111,244 and 226,352 is: 460,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,244 : 226,352 = 226,352 : x
  2. Step 2: Convert to fraction form
    111,244/226,352 = 226,352/x
  3. Step 3: Cross multiply
    111,244x = 226,352 × 226,352
  4. Step 4: Simplify right side
    111,244x = 51,235,227,904
  5. Step 5: Solve for x
    x = 51,235,227,904/111,244
  6. Step 6: Final answer
    x = 460,566.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.