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Finding the Third Proportional to 173,619 and 260,891.25

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Solution

The third proportional to 173,619 and 260,891.25 is: 392,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,619 : 260,891.25 = 260,891.25 : x
  2. Step 2: Convert to fraction form
    173,619/260,891.25 = 260,891.25/x
  3. Step 3: Cross multiply
    173,619x = 260,891.25 × 260,891.25
  4. Step 4: Simplify right side
    173,619x = 68,064,244,326.56
  5. Step 5: Solve for x
    x = 68,064,244,326.56/173,619
  6. Step 6: Final answer
    x = 392,032.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.