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Finding the Third Proportional to 167,546 and 361,334

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Solution

The third proportional to 167,546 and 361,334 is: 779,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,546 : 361,334 = 361,334 : x
  2. Step 2: Convert to fraction form
    167,546/361,334 = 361,334/x
  3. Step 3: Cross multiply
    167,546x = 361,334 × 361,334
  4. Step 4: Simplify right side
    167,546x = 130,562,259,556
  5. Step 5: Solve for x
    x = 130,562,259,556/167,546
  6. Step 6: Final answer
    x = 779,262.17

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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.