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Finding the Third Proportional to 149,678.75 and 332,572.75

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Solution

The third proportional to 149,678.75 and 332,572.75 is: 738,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,678.75 : 332,572.75 = 332,572.75 : x
  2. Step 2: Convert to fraction form
    149,678.75/332,572.75 = 332,572.75/x
  3. Step 3: Cross multiply
    149,678.75x = 332,572.75 × 332,572.75
  4. Step 4: Simplify right side
    149,678.75x = 110,604,634,042.56
  5. Step 5: Solve for x
    x = 110,604,634,042.56/149,678.75
  6. Step 6: Final answer
    x = 738,946.80

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.