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Finding the Third Proportional to 118,219.50 and 256,101.75

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Solution

The third proportional to 118,219.50 and 256,101.75 is: 554,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,219.50 : 256,101.75 = 256,101.75 : x
  2. Step 2: Convert to fraction form
    118,219.50/256,101.75 = 256,101.75/x
  3. Step 3: Cross multiply
    118,219.50x = 256,101.75 × 256,101.75
  4. Step 4: Simplify right side
    118,219.50x = 65,588,106,353.06
  5. Step 5: Solve for x
    x = 65,588,106,353.06/118,219.50
  6. Step 6: Final answer
    x = 554,799.39

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