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Finding the Third Proportional to 188,355 and 444,545.50

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Solution

The third proportional to 188,355 and 444,545.50 is: 1,049,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,355 : 444,545.50 = 444,545.50 : x
  2. Step 2: Convert to fraction form
    188,355/444,545.50 = 444,545.50/x
  3. Step 3: Cross multiply
    188,355x = 444,545.50 × 444,545.50
  4. Step 4: Simplify right side
    188,355x = 197,620,701,570.25
  5. Step 5: Solve for x
    x = 197,620,701,570.25/188,355
  6. Step 6: Final answer
    x = 1,049,192.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.