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Finding the Third Proportional to 117,636.68 and 254,648.81

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Solution

The third proportional to 117,636.68 and 254,648.81 is: 551,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,636.68 : 254,648.81 = 254,648.81 : x
  2. Step 2: Convert to fraction form
    117,636.68/254,648.81 = 254,648.81/x
  3. Step 3: Cross multiply
    117,636.68x = 254,648.81 × 254,648.81
  4. Step 4: Simplify right side
    117,636.68x = 64,846,017,707.66
  5. Step 5: Solve for x
    x = 64,846,017,707.66/117,636.68
  6. Step 6: Final answer
    x = 551,239.78

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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.