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Finding the Third Proportional to 117,696 and 254,811.75

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Solution

The third proportional to 117,696 and 254,811.75 is: 551,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,696 : 254,811.75 = 254,811.75 : x
  2. Step 2: Convert to fraction form
    117,696/254,811.75 = 254,811.75/x
  3. Step 3: Cross multiply
    117,696x = 254,811.75 × 254,811.75
  4. Step 4: Simplify right side
    117,696x = 64,929,027,938.06
  5. Step 5: Solve for x
    x = 64,929,027,938.06/117,696
  6. Step 6: Final answer
    x = 551,667.24

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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.