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Finding the Third Proportional to 155,351 and 332,824

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Solution

The third proportional to 155,351 and 332,824 is: 713,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,351 : 332,824 = 332,824 : x
  2. Step 2: Convert to fraction form
    155,351/332,824 = 332,824/x
  3. Step 3: Cross multiply
    155,351x = 332,824 × 332,824
  4. Step 4: Simplify right side
    155,351x = 110,771,814,976
  5. Step 5: Solve for x
    x = 110,771,814,976/155,351
  6. Step 6: Final answer
    x = 713,042.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.