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Finding the Third Proportional to 139,771.50 and 307,002

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Solution

The third proportional to 139,771.50 and 307,002 is: 674,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,771.50 : 307,002 = 307,002 : x
  2. Step 2: Convert to fraction form
    139,771.50/307,002 = 307,002/x
  3. Step 3: Cross multiply
    139,771.50x = 307,002 × 307,002
  4. Step 4: Simplify right side
    139,771.50x = 94,250,228,004
  5. Step 5: Solve for x
    x = 94,250,228,004/139,771.50
  6. Step 6: Final answer
    x = 674,316.50

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