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Finding the Third Proportional to 121,680 and 282,696

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Solution

The third proportional to 121,680 and 282,696 is: 656,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,680 : 282,696 = 282,696 : x
  2. Step 2: Convert to fraction form
    121,680/282,696 = 282,696/x
  3. Step 3: Cross multiply
    121,680x = 282,696 × 282,696
  4. Step 4: Simplify right side
    121,680x = 79,917,028,416
  5. Step 5: Solve for x
    x = 79,917,028,416/121,680
  6. Step 6: Final answer
    x = 656,780.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.