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Finding the Third Proportional to 172,000.50 and 252,945

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Solution

The third proportional to 172,000.50 and 252,945 is: 371,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,000.50 : 252,945 = 252,945 : x
  2. Step 2: Convert to fraction form
    172,000.50/252,945 = 252,945/x
  3. Step 3: Cross multiply
    172,000.50x = 252,945 × 252,945
  4. Step 4: Simplify right side
    172,000.50x = 63,981,173,025
  5. Step 5: Solve for x
    x = 63,981,173,025/172,000.50
  6. Step 6: Final answer
    x = 371,982.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.