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Finding the Third Proportional to 136,849.50 and 217,926

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Solution

The third proportional to 136,849.50 and 217,926 is: 347,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,849.50 : 217,926 = 217,926 : x
  2. Step 2: Convert to fraction form
    136,849.50/217,926 = 217,926/x
  3. Step 3: Cross multiply
    136,849.50x = 217,926 × 217,926
  4. Step 4: Simplify right side
    136,849.50x = 47,491,741,476
  5. Step 5: Solve for x
    x = 47,491,741,476/136,849.50
  6. Step 6: Final answer
    x = 347,036.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.