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Finding the Third Proportional to 122,380.88 and 265,173.75

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Solution

The third proportional to 122,380.88 and 265,173.75 is: 574,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,380.88 : 265,173.75 = 265,173.75 : x
  2. Step 2: Convert to fraction form
    122,380.88/265,173.75 = 265,173.75/x
  3. Step 3: Cross multiply
    122,380.88x = 265,173.75 × 265,173.75
  4. Step 4: Simplify right side
    122,380.88x = 70,317,117,689.06
  5. Step 5: Solve for x
    x = 70,317,117,689.06/122,380.88
  6. Step 6: Final answer
    x = 574,576.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.