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Finding the Third Proportional to 148,290.75 and 181,824.75

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Solution

The third proportional to 148,290.75 and 181,824.75 is: 222,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,290.75 : 181,824.75 = 181,824.75 : x
  2. Step 2: Convert to fraction form
    148,290.75/181,824.75 = 181,824.75/x
  3. Step 3: Cross multiply
    148,290.75x = 181,824.75 × 181,824.75
  4. Step 4: Simplify right side
    148,290.75x = 33,060,239,712.56
  5. Step 5: Solve for x
    x = 33,060,239,712.56/148,290.75
  6. Step 6: Final answer
    x = 222,942.02

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.