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Finding the Third Proportional to 132,462 and 283,863

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Solution

The third proportional to 132,462 and 283,863 is: 608,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,462 : 283,863 = 283,863 : x
  2. Step 2: Convert to fraction form
    132,462/283,863 = 283,863/x
  3. Step 3: Cross multiply
    132,462x = 283,863 × 283,863
  4. Step 4: Simplify right side
    132,462x = 80,578,202,769
  5. Step 5: Solve for x
    x = 80,578,202,769/132,462
  6. Step 6: Final answer
    x = 608,311.84

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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.