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Finding the Third Proportional to 132,393 and 283,738

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Solution

The third proportional to 132,393 and 283,738 is: 608,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,393 : 283,738 = 283,738 : x
  2. Step 2: Convert to fraction form
    132,393/283,738 = 283,738/x
  3. Step 3: Cross multiply
    132,393x = 283,738 × 283,738
  4. Step 4: Simplify right side
    132,393x = 80,507,252,644
  5. Step 5: Solve for x
    x = 80,507,252,644/132,393
  6. Step 6: Final answer
    x = 608,092.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.