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Finding the Third Proportional to 179,771.66 and 399,448.43

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Solution

The third proportional to 179,771.66 and 399,448.43 is: 887,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,771.66 : 399,448.43 = 399,448.43 : x
  2. Step 2: Convert to fraction form
    179,771.66/399,448.43 = 399,448.43/x
  3. Step 3: Cross multiply
    179,771.66x = 399,448.43 × 399,448.43
  4. Step 4: Simplify right side
    179,771.66x = 159,559,047,138.70
  5. Step 5: Solve for x
    x = 159,559,047,138.70/179,771.66
  6. Step 6: Final answer
    x = 887,565.07

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Why These Related Problems?

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