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Finding the Third Proportional to 134,138 and 284,266

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Solution

The third proportional to 134,138 and 284,266 is: 602,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,138 : 284,266 = 284,266 : x
  2. Step 2: Convert to fraction form
    134,138/284,266 = 284,266/x
  3. Step 3: Cross multiply
    134,138x = 284,266 × 284,266
  4. Step 4: Simplify right side
    134,138x = 80,807,158,756
  5. Step 5: Solve for x
    x = 80,807,158,756/134,138
  6. Step 6: Final answer
    x = 602,418.10

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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.