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Finding the Third Proportional to 156,940.50 and 339,031.50

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Solution

The third proportional to 156,940.50 and 339,031.50 is: 732,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,940.50 : 339,031.50 = 339,031.50 : x
  2. Step 2: Convert to fraction form
    156,940.50/339,031.50 = 339,031.50/x
  3. Step 3: Cross multiply
    156,940.50x = 339,031.50 × 339,031.50
  4. Step 4: Simplify right side
    156,940.50x = 114,942,357,992.25
  5. Step 5: Solve for x
    x = 114,942,357,992.25/156,940.50
  6. Step 6: Final answer
    x = 732,394.49

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