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Finding the Third Proportional to 120,629.25 and 265,052.25

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Solution

The third proportional to 120,629.25 and 265,052.25 is: 582,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,629.25 : 265,052.25 = 265,052.25 : x
  2. Step 2: Convert to fraction form
    120,629.25/265,052.25 = 265,052.25/x
  3. Step 3: Cross multiply
    120,629.25x = 265,052.25 × 265,052.25
  4. Step 4: Simplify right side
    120,629.25x = 70,252,695,230.06
  5. Step 5: Solve for x
    x = 70,252,695,230.06/120,629.25
  6. Step 6: Final answer
    x = 582,385.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.