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Finding the Third Proportional to 181,746 and 276,543

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Solution

The third proportional to 181,746 and 276,543 is: 420,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,746 : 276,543 = 276,543 : x
  2. Step 2: Convert to fraction form
    181,746/276,543 = 276,543/x
  3. Step 3: Cross multiply
    181,746x = 276,543 × 276,543
  4. Step 4: Simplify right side
    181,746x = 76,476,030,849
  5. Step 5: Solve for x
    x = 76,476,030,849/181,746
  6. Step 6: Final answer
    x = 420,785.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.