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Finding the Third Proportional to 186,884.25 and 282,555.75

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Solution

The third proportional to 186,884.25 and 282,555.75 is: 427,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,884.25 : 282,555.75 = 282,555.75 : x
  2. Step 2: Convert to fraction form
    186,884.25/282,555.75 = 282,555.75/x
  3. Step 3: Cross multiply
    186,884.25x = 282,555.75 × 282,555.75
  4. Step 4: Simplify right side
    186,884.25x = 79,837,751,858.06
  5. Step 5: Solve for x
    x = 79,837,751,858.06/186,884.25
  6. Step 6: Final answer
    x = 427,204.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.