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Finding the Third Proportional to 132,738 and 281,022

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Solution

The third proportional to 132,738 and 281,022 is: 594,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,738 : 281,022 = 281,022 : x
  2. Step 2: Convert to fraction form
    132,738/281,022 = 281,022/x
  3. Step 3: Cross multiply
    132,738x = 281,022 × 281,022
  4. Step 4: Simplify right side
    132,738x = 78,973,364,484
  5. Step 5: Solve for x
    x = 78,973,364,484/132,738
  6. Step 6: Final answer
    x = 594,956.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.