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Finding the Third Proportional to 111,330 and 226,546.50

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Solution

The third proportional to 111,330 and 226,546.50 is: 461,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,330 : 226,546.50 = 226,546.50 : x
  2. Step 2: Convert to fraction form
    111,330/226,546.50 = 226,546.50/x
  3. Step 3: Cross multiply
    111,330x = 226,546.50 × 226,546.50
  4. Step 4: Simplify right side
    111,330x = 51,323,316,662.25
  5. Step 5: Solve for x
    x = 51,323,316,662.25/111,330
  6. Step 6: Final answer
    x = 461,001.68

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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.