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Finding the Third Proportional to 134,576 and 283,094

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Solution

The third proportional to 134,576 and 283,094 is: 595,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,576 : 283,094 = 283,094 : x
  2. Step 2: Convert to fraction form
    134,576/283,094 = 283,094/x
  3. Step 3: Cross multiply
    134,576x = 283,094 × 283,094
  4. Step 4: Simplify right side
    134,576x = 80,142,212,836
  5. Step 5: Solve for x
    x = 80,142,212,836/134,576
  6. Step 6: Final answer
    x = 595,516.38

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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.