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Finding the Third Proportional to 135,635.50 and 294,622.25

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Solution

The third proportional to 135,635.50 and 294,622.25 is: 639,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,635.50 : 294,622.25 = 294,622.25 : x
  2. Step 2: Convert to fraction form
    135,635.50/294,622.25 = 294,622.25/x
  3. Step 3: Cross multiply
    135,635.50x = 294,622.25 × 294,622.25
  4. Step 4: Simplify right side
    135,635.50x = 86,802,270,195.06
  5. Step 5: Solve for x
    x = 86,802,270,195.06/135,635.50
  6. Step 6: Final answer
    x = 639,967.19

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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.