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Finding the Third Proportional to 135,634.88 and 294,621

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Solution

The third proportional to 135,634.88 and 294,621 is: 639,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,634.88 : 294,621 = 294,621 : x
  2. Step 2: Convert to fraction form
    135,634.88/294,621 = 294,621/x
  3. Step 3: Cross multiply
    135,634.88x = 294,621 × 294,621
  4. Step 4: Simplify right side
    135,634.88x = 86,801,533,641
  5. Step 5: Solve for x
    x = 86,801,533,641/135,634.88
  6. Step 6: Final answer
    x = 639,964.71

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Why These Related Problems?

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