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Finding the Third Proportional to 182,276 and 275,930

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Solution

The third proportional to 182,276 and 275,930 is: 417,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,276 : 275,930 = 275,930 : x
  2. Step 2: Convert to fraction form
    182,276/275,930 = 275,930/x
  3. Step 3: Cross multiply
    182,276x = 275,930 × 275,930
  4. Step 4: Simplify right side
    182,276x = 76,137,364,900
  5. Step 5: Solve for x
    x = 76,137,364,900/182,276
  6. Step 6: Final answer
    x = 417,703.73

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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.