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Finding the Third Proportional to 182,122.75 and 275,724.50

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Solution

The third proportional to 182,122.75 and 275,724.50 is: 417,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,122.75 : 275,724.50 = 275,724.50 : x
  2. Step 2: Convert to fraction form
    182,122.75/275,724.50 = 275,724.50/x
  3. Step 3: Cross multiply
    182,122.75x = 275,724.50 × 275,724.50
  4. Step 4: Simplify right side
    182,122.75x = 76,023,999,900.25
  5. Step 5: Solve for x
    x = 76,023,999,900.25/182,122.75
  6. Step 6: Final answer
    x = 417,432.75

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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.