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Finding the Third Proportional to 167,571 and 359,128

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Solution

The third proportional to 167,571 and 359,128 is: 769,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,571 : 359,128 = 359,128 : x
  2. Step 2: Convert to fraction form
    167,571/359,128 = 359,128/x
  3. Step 3: Cross multiply
    167,571x = 359,128 × 359,128
  4. Step 4: Simplify right side
    167,571x = 128,972,920,384
  5. Step 5: Solve for x
    x = 128,972,920,384/167,571
  6. Step 6: Final answer
    x = 769,661.34

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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.