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Finding the Third Proportional to 173,626 and 352,077

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Solution

The third proportional to 173,626 and 352,077 is: 713,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,626 : 352,077 = 352,077 : x
  2. Step 2: Convert to fraction form
    173,626/352,077 = 352,077/x
  3. Step 3: Cross multiply
    173,626x = 352,077 × 352,077
  4. Step 4: Simplify right side
    173,626x = 123,958,213,929
  5. Step 5: Solve for x
    x = 123,958,213,929/173,626
  6. Step 6: Final answer
    x = 713,938.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.