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Finding the Third Proportional to 182,162.25 and 275,784.75

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Solution

The third proportional to 182,162.25 and 275,784.75 is: 417,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,162.25 : 275,784.75 = 275,784.75 : x
  2. Step 2: Convert to fraction form
    182,162.25/275,784.75 = 275,784.75/x
  3. Step 3: Cross multiply
    182,162.25x = 275,784.75 × 275,784.75
  4. Step 4: Simplify right side
    182,162.25x = 76,057,228,332.56
  5. Step 5: Solve for x
    x = 76,057,228,332.56/182,162.25
  6. Step 6: Final answer
    x = 417,524.64

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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.