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Finding the Third Proportional to 182,337 and 276,024

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Solution

The third proportional to 182,337 and 276,024 is: 417,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,337 : 276,024 = 276,024 : x
  2. Step 2: Convert to fraction form
    182,337/276,024 = 276,024/x
  3. Step 3: Cross multiply
    182,337x = 276,024 × 276,024
  4. Step 4: Simplify right side
    182,337x = 76,189,248,576
  5. Step 5: Solve for x
    x = 76,189,248,576/182,337
  6. Step 6: Final answer
    x = 417,848.54

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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.