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Finding the Third Proportional to 190,091 and 265,761

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Solution

The third proportional to 190,091 and 265,761 is: 371,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,091 : 265,761 = 265,761 : x
  2. Step 2: Convert to fraction form
    190,091/265,761 = 265,761/x
  3. Step 3: Cross multiply
    190,091x = 265,761 × 265,761
  4. Step 4: Simplify right side
    190,091x = 70,628,909,121
  5. Step 5: Solve for x
    x = 70,628,909,121/190,091
  6. Step 6: Final answer
    x = 371,553.15

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.