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Finding the Third Proportional to 135,654.75 and 294,662.81

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Solution

The third proportional to 135,654.75 and 294,662.81 is: 640,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,654.75 : 294,662.81 = 294,662.81 : x
  2. Step 2: Convert to fraction form
    135,654.75/294,662.81 = 294,662.81/x
  3. Step 3: Cross multiply
    135,654.75x = 294,662.81 × 294,662.81
  4. Step 4: Simplify right side
    135,654.75x = 86,826,173,070.41
  5. Step 5: Solve for x
    x = 86,826,173,070.41/135,654.75
  6. Step 6: Final answer
    x = 640,052.58

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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.