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Finding the Third Proportional to 119,166.75 and 246,582.56

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Solution

The third proportional to 119,166.75 and 246,582.56 is: 510,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,166.75 : 246,582.56 = 246,582.56 : x
  2. Step 2: Convert to fraction form
    119,166.75/246,582.56 = 246,582.56/x
  3. Step 3: Cross multiply
    119,166.75x = 246,582.56 × 246,582.56
  4. Step 4: Simplify right side
    119,166.75x = 60,802,960,129.07
  5. Step 5: Solve for x
    x = 60,802,960,129.07/119,166.75
  6. Step 6: Final answer
    x = 510,234.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.