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Finding the Third Proportional to 117,691.73 and 254,937.38

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Solution

The third proportional to 117,691.73 and 254,937.38 is: 552,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,691.73 : 254,937.38 = 254,937.38 : x
  2. Step 2: Convert to fraction form
    117,691.73/254,937.38 = 254,937.38/x
  3. Step 3: Cross multiply
    117,691.73x = 254,937.38 × 254,937.38
  4. Step 4: Simplify right side
    117,691.73x = 64,993,065,171.89
  5. Step 5: Solve for x
    x = 64,993,065,171.89/117,691.73
  6. Step 6: Final answer
    x = 552,231.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.