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Finding the Third Proportional to 134,149 and 284,286

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Solution

The third proportional to 134,149 and 284,286 is: 602,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,149 : 284,286 = 284,286 : x
  2. Step 2: Convert to fraction form
    134,149/284,286 = 284,286/x
  3. Step 3: Cross multiply
    134,149x = 284,286 × 284,286
  4. Step 4: Simplify right side
    134,149x = 80,818,529,796
  5. Step 5: Solve for x
    x = 80,818,529,796/134,149
  6. Step 6: Final answer
    x = 602,453.46

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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.