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Finding the Third Proportional to 217,568 and 332,792

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Solution

The third proportional to 217,568 and 332,792 is: 509,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,568 : 332,792 = 332,792 : x
  2. Step 2: Convert to fraction form
    217,568/332,792 = 332,792/x
  3. Step 3: Cross multiply
    217,568x = 332,792 × 332,792
  4. Step 4: Simplify right side
    217,568x = 110,750,515,264
  5. Step 5: Solve for x
    x = 110,750,515,264/217,568
  6. Step 6: Final answer
    x = 509,038.62

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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.