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Finding the Third Proportional to 135,821.10 and 294,995.12

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Solution

The third proportional to 135,821.10 and 294,995.12 is: 640,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,821.10 : 294,995.12 = 294,995.12 : x
  2. Step 2: Convert to fraction form
    135,821.10/294,995.12 = 294,995.12/x
  3. Step 3: Cross multiply
    135,821.10x = 294,995.12 × 294,995.12
  4. Step 4: Simplify right side
    135,821.10x = 87,022,119,740.63
  5. Step 5: Solve for x
    x = 87,022,119,740.63/135,821.10
  6. Step 6: Final answer
    x = 640,711.34

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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.