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Finding the Third Proportional to 118,205.25 and 177,429.75

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Solution

The third proportional to 118,205.25 and 177,429.75 is: 266,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,205.25 : 177,429.75 = 177,429.75 : x
  2. Step 2: Convert to fraction form
    118,205.25/177,429.75 = 177,429.75/x
  3. Step 3: Cross multiply
    118,205.25x = 177,429.75 × 177,429.75
  4. Step 4: Simplify right side
    118,205.25x = 31,481,316,185.06
  5. Step 5: Solve for x
    x = 31,481,316,185.06/118,205.25
  6. Step 6: Final answer
    x = 266,327.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.