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Finding the Third Proportional to 80,407.25 and 171,214.25

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Solution

The third proportional to 80,407.25 and 171,214.25 is: 364,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,407.25 : 171,214.25 = 171,214.25 : x
  2. Step 2: Convert to fraction form
    80,407.25/171,214.25 = 171,214.25/x
  3. Step 3: Cross multiply
    80,407.25x = 171,214.25 × 171,214.25
  4. Step 4: Simplify right side
    80,407.25x = 29,314,319,403.06
  5. Step 5: Solve for x
    x = 29,314,319,403.06/80,407.25
  6. Step 6: Final answer
    x = 364,573.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.