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Finding the Third Proportional to 117,708.75 and 254,279.25

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Solution

The third proportional to 117,708.75 and 254,279.25 is: 549,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,708.75 : 254,279.25 = 254,279.25 : x
  2. Step 2: Convert to fraction form
    117,708.75/254,279.25 = 254,279.25/x
  3. Step 3: Cross multiply
    117,708.75x = 254,279.25 × 254,279.25
  4. Step 4: Simplify right side
    117,708.75x = 64,657,936,980.56
  5. Step 5: Solve for x
    x = 64,657,936,980.56/117,708.75
  6. Step 6: Final answer
    x = 549,304.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.