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Finding the Third Proportional to 150,507 and 331,731

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Solution

The third proportional to 150,507 and 331,731 is: 731,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,507 : 331,731 = 331,731 : x
  2. Step 2: Convert to fraction form
    150,507/331,731 = 331,731/x
  3. Step 3: Cross multiply
    150,507x = 331,731 × 331,731
  4. Step 4: Simplify right side
    150,507x = 110,045,456,361
  5. Step 5: Solve for x
    x = 110,045,456,361/150,507
  6. Step 6: Final answer
    x = 731,165.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.