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Finding the Third Proportional to 202,941 and 323,205.50

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Solution

The third proportional to 202,941 and 323,205.50 is: 514,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,941 : 323,205.50 = 323,205.50 : x
  2. Step 2: Convert to fraction form
    202,941/323,205.50 = 323,205.50/x
  3. Step 3: Cross multiply
    202,941x = 323,205.50 × 323,205.50
  4. Step 4: Simplify right side
    202,941x = 104,461,795,230.25
  5. Step 5: Solve for x
    x = 104,461,795,230.25/202,941
  6. Step 6: Final answer
    x = 514,739.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.