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Finding the Third Proportional to 173,174 and 260,269

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Solution

The third proportional to 173,174 and 260,269 is: 391,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,174 : 260,269 = 260,269 : x
  2. Step 2: Convert to fraction form
    173,174/260,269 = 260,269/x
  3. Step 3: Cross multiply
    173,174x = 260,269 × 260,269
  4. Step 4: Simplify right side
    173,174x = 67,739,952,361
  5. Step 5: Solve for x
    x = 67,739,952,361/173,174
  6. Step 6: Final answer
    x = 391,166.99

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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.