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Finding the Third Proportional to 242,149.50 and 332,403.75

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Solution

The third proportional to 242,149.50 and 332,403.75 is: 456,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,149.50 : 332,403.75 = 332,403.75 : x
  2. Step 2: Convert to fraction form
    242,149.50/332,403.75 = 332,403.75/x
  3. Step 3: Cross multiply
    242,149.50x = 332,403.75 × 332,403.75
  4. Step 4: Simplify right side
    242,149.50x = 110,492,253,014.06
  5. Step 5: Solve for x
    x = 110,492,253,014.06/242,149.50
  6. Step 6: Final answer
    x = 456,297.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.