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Finding the Third Proportional to 169,271 and 360,474

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Solution

The third proportional to 169,271 and 360,474 is: 767,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,271 : 360,474 = 360,474 : x
  2. Step 2: Convert to fraction form
    169,271/360,474 = 360,474/x
  3. Step 3: Cross multiply
    169,271x = 360,474 × 360,474
  4. Step 4: Simplify right side
    169,271x = 129,941,504,676
  5. Step 5: Solve for x
    x = 129,941,504,676/169,271
  6. Step 6: Final answer
    x = 767,653.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.