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Finding the Third Proportional to 174,494 and 276,753

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Solution

The third proportional to 174,494 and 276,753 is: 438,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,494 : 276,753 = 276,753 : x
  2. Step 2: Convert to fraction form
    174,494/276,753 = 276,753/x
  3. Step 3: Cross multiply
    174,494x = 276,753 × 276,753
  4. Step 4: Simplify right side
    174,494x = 76,592,223,009
  5. Step 5: Solve for x
    x = 76,592,223,009/174,494
  6. Step 6: Final answer
    x = 438,939.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.