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Finding the Third Proportional to 173,670 and 262,353

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Solution

The third proportional to 173,670 and 262,353 is: 396,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,670 : 262,353 = 262,353 : x
  2. Step 2: Convert to fraction form
    173,670/262,353 = 262,353/x
  3. Step 3: Cross multiply
    173,670x = 262,353 × 262,353
  4. Step 4: Simplify right side
    173,670x = 68,829,096,609
  5. Step 5: Solve for x
    x = 68,829,096,609/173,670
  6. Step 6: Final answer
    x = 396,321.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.