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Finding the Third Proportional to 115,256.25 and 177,996.38

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Solution

The third proportional to 115,256.25 and 177,996.38 is: 274,889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,256.25 : 177,996.38 = 177,996.38 : x
  2. Step 2: Convert to fraction form
    115,256.25/177,996.38 = 177,996.38/x
  3. Step 3: Cross multiply
    115,256.25x = 177,996.38 × 177,996.38
  4. Step 4: Simplify right side
    115,256.25x = 31,682,709,513.14
  5. Step 5: Solve for x
    x = 31,682,709,513.14/115,256.25
  6. Step 6: Final answer
    x = 274,889.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.