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Finding the Third Proportional to 120,845.99 and 263,358.37

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Solution

The third proportional to 120,845.99 and 263,358.37 is: 573,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,845.99 : 263,358.37 = 263,358.37 : x
  2. Step 2: Convert to fraction form
    120,845.99/263,358.37 = 263,358.37/x
  3. Step 3: Cross multiply
    120,845.99x = 263,358.37 × 263,358.37
  4. Step 4: Simplify right side
    120,845.99x = 69,357,630,596.41
  5. Step 5: Solve for x
    x = 69,357,630,596.41/120,845.99
  6. Step 6: Final answer
    x = 573,934.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.