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Finding the Third Proportional to 119,792 and 259,232

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Solution

The third proportional to 119,792 and 259,232 is: 560,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,792 : 259,232 = 259,232 : x
  2. Step 2: Convert to fraction form
    119,792/259,232 = 259,232/x
  3. Step 3: Cross multiply
    119,792x = 259,232 × 259,232
  4. Step 4: Simplify right side
    119,792x = 67,201,229,824
  5. Step 5: Solve for x
    x = 67,201,229,824/119,792
  6. Step 6: Final answer
    x = 560,982.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.