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Finding the Third Proportional to 135,664 and 294,676

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Solution

The third proportional to 135,664 and 294,676 is: 640,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,664 : 294,676 = 294,676 : x
  2. Step 2: Convert to fraction form
    135,664/294,676 = 294,676/x
  3. Step 3: Cross multiply
    135,664x = 294,676 × 294,676
  4. Step 4: Simplify right side
    135,664x = 86,833,944,976
  5. Step 5: Solve for x
    x = 86,833,944,976/135,664
  6. Step 6: Final answer
    x = 640,066.23

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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.