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Finding the Third Proportional to 121,325.25 and 263,607.75

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Solution

The third proportional to 121,325.25 and 263,607.75 is: 572,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,325.25 : 263,607.75 = 263,607.75 : x
  2. Step 2: Convert to fraction form
    121,325.25/263,607.75 = 263,607.75/x
  3. Step 3: Cross multiply
    121,325.25x = 263,607.75 × 263,607.75
  4. Step 4: Simplify right side
    121,325.25x = 69,489,045,860.06
  5. Step 5: Solve for x
    x = 69,489,045,860.06/121,325.25
  6. Step 6: Final answer
    x = 572,750.07

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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.