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Finding the Third Proportional to 194,169 and 260,757

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Solution

The third proportional to 194,169 and 260,757 is: 350,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,169 : 260,757 = 260,757 : x
  2. Step 2: Convert to fraction form
    194,169/260,757 = 260,757/x
  3. Step 3: Cross multiply
    194,169x = 260,757 × 260,757
  4. Step 4: Simplify right side
    194,169x = 67,994,213,049
  5. Step 5: Solve for x
    x = 67,994,213,049/194,169
  6. Step 6: Final answer
    x = 350,180.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.