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Finding the Third Proportional to 181,256 and 275,724

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Solution

The third proportional to 181,256 and 275,724 is: 419,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,256 : 275,724 = 275,724 : x
  2. Step 2: Convert to fraction form
    181,256/275,724 = 275,724/x
  3. Step 3: Cross multiply
    181,256x = 275,724 × 275,724
  4. Step 4: Simplify right side
    181,256x = 76,023,724,176
  5. Step 5: Solve for x
    x = 76,023,724,176/181,256
  6. Step 6: Final answer
    x = 419,427.35

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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.