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Finding the Third Proportional to 182,026 and 275,583

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Solution

The third proportional to 182,026 and 275,583 is: 417,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,026 : 275,583 = 275,583 : x
  2. Step 2: Convert to fraction form
    182,026/275,583 = 275,583/x
  3. Step 3: Cross multiply
    182,026x = 275,583 × 275,583
  4. Step 4: Simplify right side
    182,026x = 75,945,989,889
  5. Step 5: Solve for x
    x = 75,945,989,889/182,026
  6. Step 6: Final answer
    x = 417,226.06

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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.