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Finding the Third Proportional to 179,226 and 264,753

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Solution

The third proportional to 179,226 and 264,753 is: 391,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,226 : 264,753 = 264,753 : x
  2. Step 2: Convert to fraction form
    179,226/264,753 = 264,753/x
  3. Step 3: Cross multiply
    179,226x = 264,753 × 264,753
  4. Step 4: Simplify right side
    179,226x = 70,094,151,009
  5. Step 5: Solve for x
    x = 70,094,151,009/179,226
  6. Step 6: Final answer
    x = 391,093.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.