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Finding the Third Proportional to 182,343 and 276,031

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Solution

The third proportional to 182,343 and 276,031 is: 417,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,343 : 276,031 = 276,031 : x
  2. Step 2: Convert to fraction form
    182,343/276,031 = 276,031/x
  3. Step 3: Cross multiply
    182,343x = 276,031 × 276,031
  4. Step 4: Simplify right side
    182,343x = 76,193,112,961
  5. Step 5: Solve for x
    x = 76,193,112,961/182,343
  6. Step 6: Final answer
    x = 417,855.98

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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.