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Finding the Third Proportional to 116,241.33 and 177,696.28

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Solution

The third proportional to 116,241.33 and 177,696.28 is: 271,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,241.33 : 177,696.28 = 177,696.28 : x
  2. Step 2: Convert to fraction form
    116,241.33/177,696.28 = 177,696.28/x
  3. Step 3: Cross multiply
    116,241.33x = 177,696.28 × 177,696.28
  4. Step 4: Simplify right side
    116,241.33x = 31,575,968,370.08
  5. Step 5: Solve for x
    x = 31,575,968,370.08/116,241.33
  6. Step 6: Final answer
    x = 271,641.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.