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Finding the Third Proportional to 167,682 and 359,352

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Solution

The third proportional to 167,682 and 359,352 is: 770,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,682 : 359,352 = 359,352 : x
  2. Step 2: Convert to fraction form
    167,682/359,352 = 359,352/x
  3. Step 3: Cross multiply
    167,682x = 359,352 × 359,352
  4. Step 4: Simplify right side
    167,682x = 129,133,859,904
  5. Step 5: Solve for x
    x = 129,133,859,904/167,682
  6. Step 6: Final answer
    x = 770,111.64

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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.