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Finding the Third Proportional to 173,861 and 366,714

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Solution

The third proportional to 173,861 and 366,714 is: 773,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,861 : 366,714 = 366,714 : x
  2. Step 2: Convert to fraction form
    173,861/366,714 = 366,714/x
  3. Step 3: Cross multiply
    173,861x = 366,714 × 366,714
  4. Step 4: Simplify right side
    173,861x = 134,479,157,796
  5. Step 5: Solve for x
    x = 134,479,157,796/173,861
  6. Step 6: Final answer
    x = 773,486.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.