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Finding the Third Proportional to 134,096 and 294,758

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Solution

The third proportional to 134,096 and 294,758 is: 647,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,096 : 294,758 = 294,758 : x
  2. Step 2: Convert to fraction form
    134,096/294,758 = 294,758/x
  3. Step 3: Cross multiply
    134,096x = 294,758 × 294,758
  4. Step 4: Simplify right side
    134,096x = 86,882,278,564
  5. Step 5: Solve for x
    x = 86,882,278,564/134,096
  6. Step 6: Final answer
    x = 647,911.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.