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Finding the Third Proportional to 132,896 and 229,296

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Solution

The third proportional to 132,896 and 229,296 is: 395,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,896 : 229,296 = 229,296 : x
  2. Step 2: Convert to fraction form
    132,896/229,296 = 229,296/x
  3. Step 3: Cross multiply
    132,896x = 229,296 × 229,296
  4. Step 4: Simplify right side
    132,896x = 52,576,655,616
  5. Step 5: Solve for x
    x = 52,576,655,616/132,896
  6. Step 6: Final answer
    x = 395,622.56

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.