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Finding the Third Proportional to 151,800.75 and 222,777.42

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Solution

The third proportional to 151,800.75 and 222,777.42 is: 326,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,800.75 : 222,777.42 = 222,777.42 : x
  2. Step 2: Convert to fraction form
    151,800.75/222,777.42 = 222,777.42/x
  3. Step 3: Cross multiply
    151,800.75x = 222,777.42 × 222,777.42
  4. Step 4: Simplify right side
    151,800.75x = 49,629,779,697.27
  5. Step 5: Solve for x
    x = 49,629,779,697.27/151,800.75
  6. Step 6: Final answer
    x = 326,940.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.