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Finding the Third Proportional to 134,544 and 283,026

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Solution

The third proportional to 134,544 and 283,026 is: 595,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,544 : 283,026 = 283,026 : x
  2. Step 2: Convert to fraction form
    134,544/283,026 = 283,026/x
  3. Step 3: Cross multiply
    134,544x = 283,026 × 283,026
  4. Step 4: Simplify right side
    134,544x = 80,103,716,676
  5. Step 5: Solve for x
    x = 80,103,716,676/134,544
  6. Step 6: Final answer
    x = 595,371.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.