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Finding the Third Proportional to 117,714.75 and 261,582.75

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Solution

The third proportional to 117,714.75 and 261,582.75 is: 581,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,714.75 : 261,582.75 = 261,582.75 : x
  2. Step 2: Convert to fraction form
    117,714.75/261,582.75 = 261,582.75/x
  3. Step 3: Cross multiply
    117,714.75x = 261,582.75 × 261,582.75
  4. Step 4: Simplify right side
    117,714.75x = 68,425,535,097.56
  5. Step 5: Solve for x
    x = 68,425,535,097.56/117,714.75
  6. Step 6: Final answer
    x = 581,282.59

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.