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Finding the Third Proportional to 156,025.50 and 367,950.75

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Solution

The third proportional to 156,025.50 and 367,950.75 is: 867,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,025.50 : 367,950.75 = 367,950.75 : x
  2. Step 2: Convert to fraction form
    156,025.50/367,950.75 = 367,950.75/x
  3. Step 3: Cross multiply
    156,025.50x = 367,950.75 × 367,950.75
  4. Step 4: Simplify right side
    156,025.50x = 135,387,754,425.56
  5. Step 5: Solve for x
    x = 135,387,754,425.56/156,025.50
  6. Step 6: Final answer
    x = 867,728.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.