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Finding the Third Proportional to 139,137.75 and 296,267.63

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Solution

The third proportional to 139,137.75 and 296,267.63 is: 630,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,137.75 : 296,267.63 = 296,267.63 : x
  2. Step 2: Convert to fraction form
    139,137.75/296,267.63 = 296,267.63/x
  3. Step 3: Cross multiply
    139,137.75x = 296,267.63 × 296,267.63
  4. Step 4: Simplify right side
    139,137.75x = 87,774,505,623.14
  5. Step 5: Solve for x
    x = 87,774,505,623.14/139,137.75
  6. Step 6: Final answer
    x = 630,846.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.