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Finding the Third Proportional to 149,507 and 231,734

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Solution

The third proportional to 149,507 and 231,734 is: 359,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,507 : 231,734 = 231,734 : x
  2. Step 2: Convert to fraction form
    149,507/231,734 = 231,734/x
  3. Step 3: Cross multiply
    149,507x = 231,734 × 231,734
  4. Step 4: Simplify right side
    149,507x = 53,700,646,756
  5. Step 5: Solve for x
    x = 53,700,646,756/149,507
  6. Step 6: Final answer
    x = 359,184.83

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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.