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Finding the Third Proportional to 135,264 and 194,835

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Solution

The third proportional to 135,264 and 194,835 is: 280,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,264 : 194,835 = 194,835 : x
  2. Step 2: Convert to fraction form
    135,264/194,835 = 194,835/x
  3. Step 3: Cross multiply
    135,264x = 194,835 × 194,835
  4. Step 4: Simplify right side
    135,264x = 37,960,677,225
  5. Step 5: Solve for x
    x = 37,960,677,225/135,264
  6. Step 6: Final answer
    x = 280,641.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.