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Finding the Third Proportional to 187,261.25 and 409,556.25

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Solution

The third proportional to 187,261.25 and 409,556.25 is: 895,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,261.25 : 409,556.25 = 409,556.25 : x
  2. Step 2: Convert to fraction form
    187,261.25/409,556.25 = 409,556.25/x
  3. Step 3: Cross multiply
    187,261.25x = 409,556.25 × 409,556.25
  4. Step 4: Simplify right side
    187,261.25x = 167,736,321,914.06
  5. Step 5: Solve for x
    x = 167,736,321,914.06/187,261.25
  6. Step 6: Final answer
    x = 895,734.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.