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Finding the Third Proportional to 150,575 and 206,470

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Solution

The third proportional to 150,575 and 206,470 is: 283,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,575 : 206,470 = 206,470 : x
  2. Step 2: Convert to fraction form
    150,575/206,470 = 206,470/x
  3. Step 3: Cross multiply
    150,575x = 206,470 × 206,470
  4. Step 4: Simplify right side
    150,575x = 42,629,860,900
  5. Step 5: Solve for x
    x = 42,629,860,900/150,575
  6. Step 6: Final answer
    x = 283,113.80

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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.