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Finding the Third Proportional to 156,937.50 and 339,025.50

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Solution

The third proportional to 156,937.50 and 339,025.50 is: 732,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,937.50 : 339,025.50 = 339,025.50 : x
  2. Step 2: Convert to fraction form
    156,937.50/339,025.50 = 339,025.50/x
  3. Step 3: Cross multiply
    156,937.50x = 339,025.50 × 339,025.50
  4. Step 4: Simplify right side
    156,937.50x = 114,938,289,650.25
  5. Step 5: Solve for x
    x = 114,938,289,650.25/156,937.50
  6. Step 6: Final answer
    x = 732,382.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.