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Finding the Third Proportional to 150,521.06 and 206,402.06

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Solution

The third proportional to 150,521.06 and 206,402.06 is: 283,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,521.06 : 206,402.06 = 206,402.06 : x
  2. Step 2: Convert to fraction form
    150,521.06/206,402.06 = 206,402.06/x
  3. Step 3: Cross multiply
    150,521.06x = 206,402.06 × 206,402.06
  4. Step 4: Simplify right side
    150,521.06x = 42,601,811,404.25
  5. Step 5: Solve for x
    x = 42,601,811,404.25/150,521.06
  6. Step 6: Final answer
    x = 283,028.90

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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.