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Finding the Third Proportional to 181,050 and 273,905

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Solution

The third proportional to 181,050 and 273,905 is: 414,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,050 : 273,905 = 273,905 : x
  2. Step 2: Convert to fraction form
    181,050/273,905 = 273,905/x
  3. Step 3: Cross multiply
    181,050x = 273,905 × 273,905
  4. Step 4: Simplify right side
    181,050x = 75,023,949,025
  5. Step 5: Solve for x
    x = 75,023,949,025/181,050
  6. Step 6: Final answer
    x = 414,382.49

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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.