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Finding the Third Proportional to 76,432.50 and 164,580.75

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Solution

The third proportional to 76,432.50 and 164,580.75 is: 354,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,432.50 : 164,580.75 = 164,580.75 : x
  2. Step 2: Convert to fraction form
    76,432.50/164,580.75 = 164,580.75/x
  3. Step 3: Cross multiply
    76,432.50x = 164,580.75 × 164,580.75
  4. Step 4: Simplify right side
    76,432.50x = 27,086,823,270.56
  5. Step 5: Solve for x
    x = 27,086,823,270.56/76,432.50
  6. Step 6: Final answer
    x = 354,388.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.