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Finding the Third Proportional to 194,484.75 and 262,179.75

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Solution

The third proportional to 194,484.75 and 262,179.75 is: 353,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,484.75 : 262,179.75 = 262,179.75 : x
  2. Step 2: Convert to fraction form
    194,484.75/262,179.75 = 262,179.75/x
  3. Step 3: Cross multiply
    194,484.75x = 262,179.75 × 262,179.75
  4. Step 4: Simplify right side
    194,484.75x = 68,738,221,310.06
  5. Step 5: Solve for x
    x = 68,738,221,310.06/194,484.75
  6. Step 6: Final answer
    x = 353,437.59

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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.