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Finding the Third Proportional to 182,095 and 275,601

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Solution

The third proportional to 182,095 and 275,601 is: 417,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,095 : 275,601 = 275,601 : x
  2. Step 2: Convert to fraction form
    182,095/275,601 = 275,601/x
  3. Step 3: Cross multiply
    182,095x = 275,601 × 275,601
  4. Step 4: Simplify right side
    182,095x = 75,955,911,201
  5. Step 5: Solve for x
    x = 75,955,911,201/182,095
  6. Step 6: Final answer
    x = 417,122.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.