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Finding the Third Proportional to 82,630 and 177,254

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Solution

The third proportional to 82,630 and 177,254 is: 380,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,630 : 177,254 = 177,254 : x
  2. Step 2: Convert to fraction form
    82,630/177,254 = 177,254/x
  3. Step 3: Cross multiply
    82,630x = 177,254 × 177,254
  4. Step 4: Simplify right side
    82,630x = 31,418,980,516
  5. Step 5: Solve for x
    x = 31,418,980,516/82,630
  6. Step 6: Final answer
    x = 380,236.97

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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.