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Finding the Third Proportional to 150,693 and 206,630

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Solution

The third proportional to 150,693 and 206,630 is: 283,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,693 : 206,630 = 206,630 : x
  2. Step 2: Convert to fraction form
    150,693/206,630 = 206,630/x
  3. Step 3: Cross multiply
    150,693x = 206,630 × 206,630
  4. Step 4: Simplify right side
    150,693x = 42,695,956,900
  5. Step 5: Solve for x
    x = 42,695,956,900/150,693
  6. Step 6: Final answer
    x = 283,330.72

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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.