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Finding the Third Proportional to 186,578.44 and 281,424.38

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Solution

The third proportional to 186,578.44 and 281,424.38 is: 424,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,578.44 : 281,424.38 = 281,424.38 : x
  2. Step 2: Convert to fraction form
    186,578.44/281,424.38 = 281,424.38/x
  3. Step 3: Cross multiply
    186,578.44x = 281,424.38 × 281,424.38
  4. Step 4: Simplify right side
    186,578.44x = 79,199,678,844.14
  5. Step 5: Solve for x
    x = 79,199,678,844.14/186,578.44
  6. Step 6: Final answer
    x = 424,484.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.