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Finding the Third Proportional to 111,464 and 225,808

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Solution

The third proportional to 111,464 and 225,808 is: 457,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,464 : 225,808 = 225,808 : x
  2. Step 2: Convert to fraction form
    111,464/225,808 = 225,808/x
  3. Step 3: Cross multiply
    111,464x = 225,808 × 225,808
  4. Step 4: Simplify right side
    111,464x = 50,989,252,864
  5. Step 5: Solve for x
    x = 50,989,252,864/111,464
  6. Step 6: Final answer
    x = 457,450.41

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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.