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Finding the Third Proportional to 79,330 and 165,236

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Solution

The third proportional to 79,330 and 165,236 is: 344,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,330 : 165,236 = 165,236 : x
  2. Step 2: Convert to fraction form
    79,330/165,236 = 165,236/x
  3. Step 3: Cross multiply
    79,330x = 165,236 × 165,236
  4. Step 4: Simplify right side
    79,330x = 27,302,935,696
  5. Step 5: Solve for x
    x = 27,302,935,696/79,330
  6. Step 6: Final answer
    x = 344,169.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.