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Finding the Third Proportional to 82,288.75 and 177,064.75

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Solution

The third proportional to 82,288.75 and 177,064.75 is: 380,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,288.75 : 177,064.75 = 177,064.75 : x
  2. Step 2: Convert to fraction form
    82,288.75/177,064.75 = 177,064.75/x
  3. Step 3: Cross multiply
    82,288.75x = 177,064.75 × 177,064.75
  4. Step 4: Simplify right side
    82,288.75x = 31,351,925,692.56
  5. Step 5: Solve for x
    x = 31,351,925,692.56/82,288.75
  6. Step 6: Final answer
    x = 380,998.93

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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.