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Finding the Third Proportional to 150,531.75 and 206,421.19

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Solution

The third proportional to 150,531.75 and 206,421.19 is: 283,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,531.75 : 206,421.19 = 206,421.19 : x
  2. Step 2: Convert to fraction form
    150,531.75/206,421.19 = 206,421.19/x
  3. Step 3: Cross multiply
    150,531.75x = 206,421.19 × 206,421.19
  4. Step 4: Simplify right side
    150,531.75x = 42,609,706,648.91
  5. Step 5: Solve for x
    x = 42,609,706,648.91/150,531.75
  6. Step 6: Final answer
    x = 283,061.26

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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.