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Finding the Third Proportional to 136,592 and 294,256

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Solution

The third proportional to 136,592 and 294,256 is: 633,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,592 : 294,256 = 294,256 : x
  2. Step 2: Convert to fraction form
    136,592/294,256 = 294,256/x
  3. Step 3: Cross multiply
    136,592x = 294,256 × 294,256
  4. Step 4: Simplify right side
    136,592x = 86,586,593,536
  5. Step 5: Solve for x
    x = 86,586,593,536/136,592
  6. Step 6: Final answer
    x = 633,906.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.