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Finding the Third Proportional to 173,172 and 260,266

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Solution

The third proportional to 173,172 and 260,266 is: 391,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,172 : 260,266 = 260,266 : x
  2. Step 2: Convert to fraction form
    173,172/260,266 = 260,266/x
  3. Step 3: Cross multiply
    173,172x = 260,266 × 260,266
  4. Step 4: Simplify right side
    173,172x = 67,738,390,756
  5. Step 5: Solve for x
    x = 67,738,390,756/173,172
  6. Step 6: Final answer
    x = 391,162.49

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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.