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Finding the Third Proportional to 136,583.72 and 278,586.84

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Solution

The third proportional to 136,583.72 and 278,586.84 is: 568,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,583.72 : 278,586.84 = 278,586.84 : x
  2. Step 2: Convert to fraction form
    136,583.72/278,586.84 = 278,586.84/x
  3. Step 3: Cross multiply
    136,583.72x = 278,586.84 × 278,586.84
  4. Step 4: Simplify right side
    136,583.72x = 77,610,629,510.59
  5. Step 5: Solve for x
    x = 77,610,629,510.59/136,583.72
  6. Step 6: Final answer
    x = 568,227.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.