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Finding the Third Proportional to 82,080.84 and 178,536.66

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Solution

The third proportional to 82,080.84 and 178,536.66 is: 388,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,080.84 : 178,536.66 = 178,536.66 : x
  2. Step 2: Convert to fraction form
    82,080.84/178,536.66 = 178,536.66/x
  3. Step 3: Cross multiply
    82,080.84x = 178,536.66 × 178,536.66
  4. Step 4: Simplify right side
    82,080.84x = 31,875,337,624.93
  5. Step 5: Solve for x
    x = 31,875,337,624.93/82,080.84
  6. Step 6: Final answer
    x = 388,340.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.