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Finding the Third Proportional to 83,448.75 and 180,261.75

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Solution

The third proportional to 83,448.75 and 180,261.75 is: 389,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,448.75 : 180,261.75 = 180,261.75 : x
  2. Step 2: Convert to fraction form
    83,448.75/180,261.75 = 180,261.75/x
  3. Step 3: Cross multiply
    83,448.75x = 180,261.75 × 180,261.75
  4. Step 4: Simplify right side
    83,448.75x = 32,494,298,513.06
  5. Step 5: Solve for x
    x = 32,494,298,513.06/83,448.75
  6. Step 6: Final answer
    x = 389,392.27

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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.