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Finding the Third Proportional to 139,513.83 and 302,811.27

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Solution

The third proportional to 139,513.83 and 302,811.27 is: 657,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,513.83 : 302,811.27 = 302,811.27 : x
  2. Step 2: Convert to fraction form
    139,513.83/302,811.27 = 302,811.27/x
  3. Step 3: Cross multiply
    139,513.83x = 302,811.27 × 302,811.27
  4. Step 4: Simplify right side
    139,513.83x = 91,694,667,320.84
  5. Step 5: Solve for x
    x = 91,694,667,320.84/139,513.83
  6. Step 6: Final answer
    x = 657,244.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.