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Finding the Third Proportional to 173,864 and 366,720

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Solution

The third proportional to 173,864 and 366,720 is: 773,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,864 : 366,720 = 366,720 : x
  2. Step 2: Convert to fraction form
    173,864/366,720 = 366,720/x
  3. Step 3: Cross multiply
    173,864x = 366,720 × 366,720
  4. Step 4: Simplify right side
    173,864x = 134,483,558,400
  5. Step 5: Solve for x
    x = 134,483,558,400/173,864
  6. Step 6: Final answer
    x = 773,498.59

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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.