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Finding the Third Proportional to 179,450 and 388,624

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Solution

The third proportional to 179,450 and 388,624 is: 841,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,450 : 388,624 = 388,624 : x
  2. Step 2: Convert to fraction form
    179,450/388,624 = 388,624/x
  3. Step 3: Cross multiply
    179,450x = 388,624 × 388,624
  4. Step 4: Simplify right side
    179,450x = 151,028,613,376
  5. Step 5: Solve for x
    x = 151,028,613,376/179,450
  6. Step 6: Final answer
    x = 841,619.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.