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Finding the Third Proportional to 144,843.19 and 194,908.78

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Solution

The third proportional to 144,843.19 and 194,908.78 is: 262,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,843.19 : 194,908.78 = 194,908.78 : x
  2. Step 2: Convert to fraction form
    144,843.19/194,908.78 = 194,908.78/x
  3. Step 3: Cross multiply
    144,843.19x = 194,908.78 × 194,908.78
  4. Step 4: Simplify right side
    144,843.19x = 37,989,433,008.36
  5. Step 5: Solve for x
    x = 37,989,433,008.36/144,843.19
  6. Step 6: Final answer
    x = 262,279.74

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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.