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Finding the Third Proportional to 172,234.50 and 251,545.50

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Solution

The third proportional to 172,234.50 and 251,545.50 is: 367,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,234.50 : 251,545.50 = 251,545.50 : x
  2. Step 2: Convert to fraction form
    172,234.50/251,545.50 = 251,545.50/x
  3. Step 3: Cross multiply
    172,234.50x = 251,545.50 × 251,545.50
  4. Step 4: Simplify right side
    172,234.50x = 63,275,138,570.25
  5. Step 5: Solve for x
    x = 63,275,138,570.25/172,234.50
  6. Step 6: Final answer
    x = 367,377.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.