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Finding the Third Proportional to 150,691.50 and 206,628

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Solution

The third proportional to 150,691.50 and 206,628 is: 283,328.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,691.50 : 206,628 = 206,628 : x
  2. Step 2: Convert to fraction form
    150,691.50/206,628 = 206,628/x
  3. Step 3: Cross multiply
    150,691.50x = 206,628 × 206,628
  4. Step 4: Simplify right side
    150,691.50x = 42,695,130,384
  5. Step 5: Solve for x
    x = 42,695,130,384/150,691.50
  6. Step 6: Final answer
    x = 283,328.06

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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.