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Finding the Third Proportional to 202,884.75 and 433,912.50

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Solution

The third proportional to 202,884.75 and 433,912.50 is: 928,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,884.75 : 433,912.50 = 433,912.50 : x
  2. Step 2: Convert to fraction form
    202,884.75/433,912.50 = 433,912.50/x
  3. Step 3: Cross multiply
    202,884.75x = 433,912.50 × 433,912.50
  4. Step 4: Simplify right side
    202,884.75x = 188,280,057,656.25
  5. Step 5: Solve for x
    x = 188,280,057,656.25/202,884.75
  6. Step 6: Final answer
    x = 928,014.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.