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Finding the Third Proportional to 111,930 and 243,338

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Solution

The third proportional to 111,930 and 243,338 is: 529,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,930 : 243,338 = 243,338 : x
  2. Step 2: Convert to fraction form
    111,930/243,338 = 243,338/x
  3. Step 3: Cross multiply
    111,930x = 243,338 × 243,338
  4. Step 4: Simplify right side
    111,930x = 59,213,382,244
  5. Step 5: Solve for x
    x = 59,213,382,244/111,930
  6. Step 6: Final answer
    x = 529,021.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.