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Finding the Third Proportional to 111,262.50 and 230,403.38

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Solution

The third proportional to 111,262.50 and 230,403.38 is: 477,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,262.50 : 230,403.38 = 230,403.38 : x
  2. Step 2: Convert to fraction form
    111,262.50/230,403.38 = 230,403.38/x
  3. Step 3: Cross multiply
    111,262.50x = 230,403.38 × 230,403.38
  4. Step 4: Simplify right side
    111,262.50x = 53,085,715,211.39
  5. Step 5: Solve for x
    x = 53,085,715,211.39/111,262.50
  6. Step 6: Final answer
    x = 477,121.36

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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.