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Finding the Third Proportional to 173,176 and 260,267

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Solution

The third proportional to 173,176 and 260,267 is: 391,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,176 : 260,267 = 260,267 : x
  2. Step 2: Convert to fraction form
    173,176/260,267 = 260,267/x
  3. Step 3: Cross multiply
    173,176x = 260,267 × 260,267
  4. Step 4: Simplify right side
    173,176x = 67,738,911,289
  5. Step 5: Solve for x
    x = 67,738,911,289/173,176
  6. Step 6: Final answer
    x = 391,156.46

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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.