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Finding the Third Proportional to 194,098 and 260,826

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Solution

The third proportional to 194,098 and 260,826 is: 350,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,098 : 260,826 = 260,826 : x
  2. Step 2: Convert to fraction form
    194,098/260,826 = 260,826/x
  3. Step 3: Cross multiply
    194,098x = 260,826 × 260,826
  4. Step 4: Simplify right side
    194,098x = 68,030,202,276
  5. Step 5: Solve for x
    x = 68,030,202,276/194,098
  6. Step 6: Final answer
    x = 350,494.09

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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.