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Finding the Third Proportional to 82,613.25 and 177,219

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Solution

The third proportional to 82,613.25 and 177,219 is: 380,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,613.25 : 177,219 = 177,219 : x
  2. Step 2: Convert to fraction form
    82,613.25/177,219 = 177,219/x
  3. Step 3: Cross multiply
    82,613.25x = 177,219 × 177,219
  4. Step 4: Simplify right side
    82,613.25x = 31,406,573,961
  5. Step 5: Solve for x
    x = 31,406,573,961/82,613.25
  6. Step 6: Final answer
    x = 380,163.88

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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.