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Finding the Third Proportional to 176,942.25 and 384,987.38

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Solution

The third proportional to 176,942.25 and 384,987.38 is: 837,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,942.25 : 384,987.38 = 384,987.38 : x
  2. Step 2: Convert to fraction form
    176,942.25/384,987.38 = 384,987.38/x
  3. Step 3: Cross multiply
    176,942.25x = 384,987.38 × 384,987.38
  4. Step 4: Simplify right side
    176,942.25x = 148,215,278,909.39
  5. Step 5: Solve for x
    x = 148,215,278,909.39/176,942.25
  6. Step 6: Final answer
    x = 837,647.76

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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.