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Finding the Third Proportional to 133,817.44 and 287,090.06

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Solution

The third proportional to 133,817.44 and 287,090.06 is: 615,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,817.44 : 287,090.06 = 287,090.06 : x
  2. Step 2: Convert to fraction form
    133,817.44/287,090.06 = 287,090.06/x
  3. Step 3: Cross multiply
    133,817.44x = 287,090.06 × 287,090.06
  4. Step 4: Simplify right side
    133,817.44x = 82,420,703,986.25
  5. Step 5: Solve for x
    x = 82,420,703,986.25/133,817.44
  6. Step 6: Final answer
    x = 615,919.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.