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Finding the Third Proportional to 186,077.25 and 403,661.25

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Solution

The third proportional to 186,077.25 and 403,661.25 is: 875,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,077.25 : 403,661.25 = 403,661.25 : x
  2. Step 2: Convert to fraction form
    186,077.25/403,661.25 = 403,661.25/x
  3. Step 3: Cross multiply
    186,077.25x = 403,661.25 × 403,661.25
  4. Step 4: Simplify right side
    186,077.25x = 162,942,404,751.56
  5. Step 5: Solve for x
    x = 162,942,404,751.56/186,077.25
  6. Step 6: Final answer
    x = 875,670.75

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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.