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Finding the Third Proportional to 180,951 and 385,950

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Solution

The third proportional to 180,951 and 385,950 is: 823,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,951 : 385,950 = 385,950 : x
  2. Step 2: Convert to fraction form
    180,951/385,950 = 385,950/x
  3. Step 3: Cross multiply
    180,951x = 385,950 × 385,950
  4. Step 4: Simplify right side
    180,951x = 148,957,402,500
  5. Step 5: Solve for x
    x = 148,957,402,500/180,951
  6. Step 6: Final answer
    x = 823,191.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.