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Finding the Third Proportional to 216,645.75 and 332,280

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Solution

The third proportional to 216,645.75 and 332,280 is: 509,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,645.75 : 332,280 = 332,280 : x
  2. Step 2: Convert to fraction form
    216,645.75/332,280 = 332,280/x
  3. Step 3: Cross multiply
    216,645.75x = 332,280 × 332,280
  4. Step 4: Simplify right side
    216,645.75x = 110,409,998,400
  5. Step 5: Solve for x
    x = 110,409,998,400/216,645.75
  6. Step 6: Final answer
    x = 509,633.81

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Why These Related Problems?

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