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Finding the Third Proportional to 191,369.25 and 281,517.38

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Solution

The third proportional to 191,369.25 and 281,517.38 is: 414,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,369.25 : 281,517.38 = 281,517.38 : x
  2. Step 2: Convert to fraction form
    191,369.25/281,517.38 = 281,517.38/x
  3. Step 3: Cross multiply
    191,369.25x = 281,517.38 × 281,517.38
  4. Step 4: Simplify right side
    191,369.25x = 79,252,032,426.89
  5. Step 5: Solve for x
    x = 79,252,032,426.89/191,369.25
  6. Step 6: Final answer
    x = 414,131.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.