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Finding the Third Proportional to 135,111 and 294,003

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Solution

The third proportional to 135,111 and 294,003 is: 639,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,111 : 294,003 = 294,003 : x
  2. Step 2: Convert to fraction form
    135,111/294,003 = 294,003/x
  3. Step 3: Cross multiply
    135,111x = 294,003 × 294,003
  4. Step 4: Simplify right side
    135,111x = 86,437,764,009
  5. Step 5: Solve for x
    x = 86,437,764,009/135,111
  6. Step 6: Final answer
    x = 639,753.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.