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Finding the Third Proportional to 116,633.44 and 174,919.78

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Solution

The third proportional to 116,633.44 and 174,919.78 is: 262,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,633.44 : 174,919.78 = 174,919.78 : x
  2. Step 2: Convert to fraction form
    116,633.44/174,919.78 = 174,919.78/x
  3. Step 3: Cross multiply
    116,633.44x = 174,919.78 × 174,919.78
  4. Step 4: Simplify right side
    116,633.44x = 30,596,929,872.55
  5. Step 5: Solve for x
    x = 30,596,929,872.55/116,633.44
  6. Step 6: Final answer
    x = 262,334.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.