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Finding the Third Proportional to 169,182 and 361,674

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Solution

The third proportional to 169,182 and 361,674 is: 773,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,182 : 361,674 = 361,674 : x
  2. Step 2: Convert to fraction form
    169,182/361,674 = 361,674/x
  3. Step 3: Cross multiply
    169,182x = 361,674 × 361,674
  4. Step 4: Simplify right side
    169,182x = 130,808,082,276
  5. Step 5: Solve for x
    x = 130,808,082,276/169,182
  6. Step 6: Final answer
    x = 773,179.67

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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.