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Finding the Third Proportional to 121,239.50 and 263,461.75

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Solution

The third proportional to 121,239.50 and 263,461.75 is: 572,520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,239.50 : 263,461.75 = 263,461.75 : x
  2. Step 2: Convert to fraction form
    121,239.50/263,461.75 = 263,461.75/x
  3. Step 3: Cross multiply
    121,239.50x = 263,461.75 × 263,461.75
  4. Step 4: Simplify right side
    121,239.50x = 69,412,093,713.06
  5. Step 5: Solve for x
    x = 69,412,093,713.06/121,239.50
  6. Step 6: Final answer
    x = 572,520.46

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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.