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Finding the Third Proportional to 150,689 and 233,477

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Solution

The third proportional to 150,689 and 233,477 is: 361,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,689 : 233,477 = 233,477 : x
  2. Step 2: Convert to fraction form
    150,689/233,477 = 233,477/x
  3. Step 3: Cross multiply
    150,689x = 233,477 × 233,477
  4. Step 4: Simplify right side
    150,689x = 54,511,509,529
  5. Step 5: Solve for x
    x = 54,511,509,529/150,689
  6. Step 6: Final answer
    x = 361,748.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.