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Finding the Third Proportional to 177,536 and 384,617

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Solution

The third proportional to 177,536 and 384,617 is: 833,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,536 : 384,617 = 384,617 : x
  2. Step 2: Convert to fraction form
    177,536/384,617 = 384,617/x
  3. Step 3: Cross multiply
    177,536x = 384,617 × 384,617
  4. Step 4: Simplify right side
    177,536x = 147,930,236,689
  5. Step 5: Solve for x
    x = 147,930,236,689/177,536
  6. Step 6: Final answer
    x = 833,240.79

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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.