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Finding the Third Proportional to 202,735.50 and 292,035

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Solution

The third proportional to 202,735.50 and 292,035 is: 420,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,735.50 : 292,035 = 292,035 : x
  2. Step 2: Convert to fraction form
    202,735.50/292,035 = 292,035/x
  3. Step 3: Cross multiply
    202,735.50x = 292,035 × 292,035
  4. Step 4: Simplify right side
    202,735.50x = 85,284,441,225
  5. Step 5: Solve for x
    x = 85,284,441,225/202,735.50
  6. Step 6: Final answer
    x = 420,668.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.