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Finding the Third Proportional to 182,912.50 and 385,751

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Solution

The third proportional to 182,912.50 and 385,751 is: 813,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,912.50 : 385,751 = 385,751 : x
  2. Step 2: Convert to fraction form
    182,912.50/385,751 = 385,751/x
  3. Step 3: Cross multiply
    182,912.50x = 385,751 × 385,751
  4. Step 4: Simplify right side
    182,912.50x = 148,803,834,001
  5. Step 5: Solve for x
    x = 148,803,834,001/182,912.50
  6. Step 6: Final answer
    x = 813,524.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.