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Finding the Third Proportional to 110,929.50 and 239,949

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Solution

The third proportional to 110,929.50 and 239,949 is: 519,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,929.50 : 239,949 = 239,949 : x
  2. Step 2: Convert to fraction form
    110,929.50/239,949 = 239,949/x
  3. Step 3: Cross multiply
    110,929.50x = 239,949 × 239,949
  4. Step 4: Simplify right side
    110,929.50x = 57,575,522,601
  5. Step 5: Solve for x
    x = 57,575,522,601/110,929.50
  6. Step 6: Final answer
    x = 519,028.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.