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Finding the Third Proportional to 144,849.38 and 194,916.94

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Solution

The third proportional to 144,849.38 and 194,916.94 is: 262,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,849.38 : 194,916.94 = 194,916.94 : x
  2. Step 2: Convert to fraction form
    144,849.38/194,916.94 = 194,916.94/x
  3. Step 3: Cross multiply
    144,849.38x = 194,916.94 × 194,916.94
  4. Step 4: Simplify right side
    144,849.38x = 37,992,612,524.38
  5. Step 5: Solve for x
    x = 37,992,612,524.38/144,849.38
  6. Step 6: Final answer
    x = 262,290.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.