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Finding the Third Proportional to 134,664 and 283,908

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Solution

The third proportional to 134,664 and 283,908 is: 598,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,664 : 283,908 = 283,908 : x
  2. Step 2: Convert to fraction form
    134,664/283,908 = 283,908/x
  3. Step 3: Cross multiply
    134,664x = 283,908 × 283,908
  4. Step 4: Simplify right side
    134,664x = 80,603,752,464
  5. Step 5: Solve for x
    x = 80,603,752,464/134,664
  6. Step 6: Final answer
    x = 598,554.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.