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Finding the Third Proportional to 167,969.25 and 254,619

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Solution

The third proportional to 167,969.25 and 254,619 is: 385,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,969.25 : 254,619 = 254,619 : x
  2. Step 2: Convert to fraction form
    167,969.25/254,619 = 254,619/x
  3. Step 3: Cross multiply
    167,969.25x = 254,619 × 254,619
  4. Step 4: Simplify right side
    167,969.25x = 64,830,835,161
  5. Step 5: Solve for x
    x = 64,830,835,161/167,969.25
  6. Step 6: Final answer
    x = 385,968.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.