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Finding the Third Proportional to 216,933.75 and 332,781.75

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Solution

The third proportional to 216,933.75 and 332,781.75 is: 510,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,933.75 : 332,781.75 = 332,781.75 : x
  2. Step 2: Convert to fraction form
    216,933.75/332,781.75 = 332,781.75/x
  3. Step 3: Cross multiply
    216,933.75x = 332,781.75 × 332,781.75
  4. Step 4: Simplify right side
    216,933.75x = 110,743,693,133.06
  5. Step 5: Solve for x
    x = 110,743,693,133.06/216,933.75
  6. Step 6: Final answer
    x = 510,495.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.