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Finding the Third Proportional to 151,764.75 and 228,039.75

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Solution

The third proportional to 151,764.75 and 228,039.75 is: 342,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,764.75 : 228,039.75 = 228,039.75 : x
  2. Step 2: Convert to fraction form
    151,764.75/228,039.75 = 228,039.75/x
  3. Step 3: Cross multiply
    151,764.75x = 228,039.75 × 228,039.75
  4. Step 4: Simplify right side
    151,764.75x = 52,002,127,580.06
  5. Step 5: Solve for x
    x = 52,002,127,580.06/151,764.75
  6. Step 6: Final answer
    x = 342,649.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.