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Finding the Third Proportional to 121,239.75 and 263,464.75

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Solution

The third proportional to 121,239.75 and 263,464.75 is: 572,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,239.75 : 263,464.75 = 263,464.75 : x
  2. Step 2: Convert to fraction form
    121,239.75/263,464.75 = 263,464.75/x
  3. Step 3: Cross multiply
    121,239.75x = 263,464.75 × 263,464.75
  4. Step 4: Simplify right side
    121,239.75x = 69,413,674,492.56
  5. Step 5: Solve for x
    x = 69,413,674,492.56/121,239.75
  6. Step 6: Final answer
    x = 572,532.31

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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.