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Finding the Third Proportional to 117,696.38 and 254,950.88

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Solution

The third proportional to 117,696.38 and 254,950.88 is: 552,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,696.38 : 254,950.88 = 254,950.88 : x
  2. Step 2: Convert to fraction form
    117,696.38/254,950.88 = 254,950.88/x
  3. Step 3: Cross multiply
    117,696.38x = 254,950.88 × 254,950.88
  4. Step 4: Simplify right side
    117,696.38x = 64,999,948,663.27
  5. Step 5: Solve for x
    x = 64,999,948,663.27/117,696.38
  6. Step 6: Final answer
    x = 552,268.06

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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.