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Finding the Third Proportional to 179,647 and 299,423

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Solution

The third proportional to 179,647 and 299,423 is: 499,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,647 : 299,423 = 299,423 : x
  2. Step 2: Convert to fraction form
    179,647/299,423 = 299,423/x
  3. Step 3: Cross multiply
    179,647x = 299,423 × 299,423
  4. Step 4: Simplify right side
    179,647x = 89,654,132,929
  5. Step 5: Solve for x
    x = 89,654,132,929/179,647
  6. Step 6: Final answer
    x = 499,057.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.