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Finding the Third Proportional to 117,699.75 and 254,718

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Solution

The third proportional to 117,699.75 and 254,718 is: 551,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,699.75 : 254,718 = 254,718 : x
  2. Step 2: Convert to fraction form
    117,699.75/254,718 = 254,718/x
  3. Step 3: Cross multiply
    117,699.75x = 254,718 × 254,718
  4. Step 4: Simplify right side
    117,699.75x = 64,881,259,524
  5. Step 5: Solve for x
    x = 64,881,259,524/117,699.75
  6. Step 6: Final answer
    x = 551,243.82

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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.