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Finding the Third Proportional to 173,165 and 260,256

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Solution

The third proportional to 173,165 and 260,256 is: 391,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,165 : 260,256 = 260,256 : x
  2. Step 2: Convert to fraction form
    173,165/260,256 = 260,256/x
  3. Step 3: Cross multiply
    173,165x = 260,256 × 260,256
  4. Step 4: Simplify right side
    173,165x = 67,733,185,536
  5. Step 5: Solve for x
    x = 67,733,185,536/173,165
  6. Step 6: Final answer
    x = 391,148.24

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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.