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Finding the Third Proportional to 176,474 and 380,596

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Solution

The third proportional to 176,474 and 380,596 is: 820,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,474 : 380,596 = 380,596 : x
  2. Step 2: Convert to fraction form
    176,474/380,596 = 380,596/x
  3. Step 3: Cross multiply
    176,474x = 380,596 × 380,596
  4. Step 4: Simplify right side
    176,474x = 144,853,315,216
  5. Step 5: Solve for x
    x = 144,853,315,216/176,474
  6. Step 6: Final answer
    x = 820,819.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.