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Finding the Third Proportional to 121,239.84 and 263,464.88

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Solution

The third proportional to 121,239.84 and 263,464.88 is: 572,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,239.84 : 263,464.88 = 263,464.88 : x
  2. Step 2: Convert to fraction form
    121,239.84/263,464.88 = 263,464.88/x
  3. Step 3: Cross multiply
    121,239.84x = 263,464.88 × 263,464.88
  4. Step 4: Simplify right side
    121,239.84x = 69,413,740,358.77
  5. Step 5: Solve for x
    x = 69,413,740,358.77/121,239.84
  6. Step 6: Final answer
    x = 572,532.41

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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.