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Finding the Third Proportional to 118,185.75 and 273,321

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Solution

The third proportional to 118,185.75 and 273,321 is: 632,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,185.75 : 273,321 = 273,321 : x
  2. Step 2: Convert to fraction form
    118,185.75/273,321 = 273,321/x
  3. Step 3: Cross multiply
    118,185.75x = 273,321 × 273,321
  4. Step 4: Simplify right side
    118,185.75x = 74,704,369,041
  5. Step 5: Solve for x
    x = 74,704,369,041/118,185.75
  6. Step 6: Final answer
    x = 632,092.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.