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Finding the Third Proportional to 82,836 and 176,984

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Solution

The third proportional to 82,836 and 176,984 is: 378,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,836 : 176,984 = 176,984 : x
  2. Step 2: Convert to fraction form
    82,836/176,984 = 176,984/x
  3. Step 3: Cross multiply
    82,836x = 176,984 × 176,984
  4. Step 4: Simplify right side
    82,836x = 31,323,336,256
  5. Step 5: Solve for x
    x = 31,323,336,256/82,836
  6. Step 6: Final answer
    x = 378,136.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.