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Finding the Third Proportional to 150,513.50 and 206,394.75

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Solution

The third proportional to 150,513.50 and 206,394.75 is: 283,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,513.50 : 206,394.75 = 206,394.75 : x
  2. Step 2: Convert to fraction form
    150,513.50/206,394.75 = 206,394.75/x
  3. Step 3: Cross multiply
    150,513.50x = 206,394.75 × 206,394.75
  4. Step 4: Simplify right side
    150,513.50x = 42,598,792,827.56
  5. Step 5: Solve for x
    x = 42,598,792,827.56/150,513.50
  6. Step 6: Final answer
    x = 283,023.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.