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Finding the Third Proportional to 136,327.50 and 208,182

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Solution

The third proportional to 136,327.50 and 208,182 is: 317,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,327.50 : 208,182 = 208,182 : x
  2. Step 2: Convert to fraction form
    136,327.50/208,182 = 208,182/x
  3. Step 3: Cross multiply
    136,327.50x = 208,182 × 208,182
  4. Step 4: Simplify right side
    136,327.50x = 43,339,745,124
  5. Step 5: Solve for x
    x = 43,339,745,124/136,327.50
  6. Step 6: Final answer
    x = 317,909.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.