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Finding the Third Proportional to 112,259.25 and 242,325

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Solution

The third proportional to 112,259.25 and 242,325 is: 523,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,259.25 : 242,325 = 242,325 : x
  2. Step 2: Convert to fraction form
    112,259.25/242,325 = 242,325/x
  3. Step 3: Cross multiply
    112,259.25x = 242,325 × 242,325
  4. Step 4: Simplify right side
    112,259.25x = 58,721,405,625
  5. Step 5: Solve for x
    x = 58,721,405,625/112,259.25
  6. Step 6: Final answer
    x = 523,087.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.