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Finding the Third Proportional to 137,846.81 and 302,879.25

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Solution

The third proportional to 137,846.81 and 302,879.25 is: 665,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,846.81 : 302,879.25 = 302,879.25 : x
  2. Step 2: Convert to fraction form
    137,846.81/302,879.25 = 302,879.25/x
  3. Step 3: Cross multiply
    137,846.81x = 302,879.25 × 302,879.25
  4. Step 4: Simplify right side
    137,846.81x = 91,735,840,080.56
  5. Step 5: Solve for x
    x = 91,735,840,080.56/137,846.81
  6. Step 6: Final answer
    x = 665,491.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.