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Finding the Third Proportional to 216,376 and 332,790

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Solution

The third proportional to 216,376 and 332,790 is: 511,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,376 : 332,790 = 332,790 : x
  2. Step 2: Convert to fraction form
    216,376/332,790 = 332,790/x
  3. Step 3: Cross multiply
    216,376x = 332,790 × 332,790
  4. Step 4: Simplify right side
    216,376x = 110,749,184,100
  5. Step 5: Solve for x
    x = 110,749,184,100/216,376
  6. Step 6: Final answer
    x = 511,836.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.